Finding the Third Proportional to 17,357,793,106 and 37,674,649,701

Step by Step Solution

1. Step 1: Write the proportion equation
   17,357,793,106 : 37,674,649,701 = 37,674,649,701 : x
2. Step 2: Convert to fraction form
   17,357,793,106/37,674,649,701 = 37,674,649,701/x
3. Step 3: Cross multiply
   17,357,793,106x = 37,674,649,701 × 37,674,649,701
4. Step 4: Simplify right side
   17,357,793,106x = 1,419,379,230,093,059,293,184
5. Step 5: Solve for x
   x = 1,419,379,230,093,059,293,184/17,357,793,106
6. Step 6: Final answer
   x = 81,771,871,655.87