Finding the Third Proportional to 13,658,428,602 and 31,617,293,166

Step by Step Solution

1. Step 1: Write the proportion equation
   13,658,428,602 : 31,617,293,166 = 31,617,293,166 : x
2. Step 2: Convert to fraction form
   13,658,428,602/31,617,293,166 = 31,617,293,166/x
3. Step 3: Cross multiply
   13,658,428,602x = 31,617,293,166 × 31,617,293,166
4. Step 4: Simplify right side
   13,658,428,602x = 999,653,227,144,790,278,144
5. Step 5: Solve for x
   x = 999,653,227,144,790,278,144/13,658,428,602
6. Step 6: Final answer
   x = 73,189,475,617.89