Finding the Third Proportional to 7,819,705,490,955 and 16,834,505,401,686

Step by Step Solution

1. Step 1: Write the proportion equation
   7,819,705,490,955 : 16,834,505,401,686 = 16,834,505,401,686 : x
2. Step 2: Convert to fraction form
   7,819,705,490,955/16,834,505,401,686 = 16,834,505,401,686/x
3. Step 3: Cross multiply
   7,819,705,490,955x = 16,834,505,401,686 × 16,834,505,401,686
4. Step 4: Simplify right side
   7,819,705,490,955x = 283,400,572,119,395,113,625,452,544
5. Step 5: Solve for x
   x = 283,400,572,119,395,113,625,452,544/7,819,705,490,955
6. Step 6: Final answer
   x = 36,241,847,272,535.09