Finding the Third Proportional to 7,819,705,490,961 and 16,834,505,401,698

Step by Step Solution

1. Step 1: Write the proportion equation
   7,819,705,490,961 : 16,834,505,401,698 = 16,834,505,401,698 : x
2. Step 2: Convert to fraction form
   7,819,705,490,961/16,834,505,401,698 = 16,834,505,401,698/x
3. Step 3: Cross multiply
   7,819,705,490,961x = 16,834,505,401,698 × 16,834,505,401,698
4. Step 4: Simplify right side
   7,819,705,490,961x = 283,400,572,119,799,149,788,921,856
5. Step 5: Solve for x
   x = 283,400,572,119,799,149,788,921,856/7,819,705,490,961
6. Step 6: Final answer
   x = 36,241,847,272,558.95