Finding the Third Proportional to 65,729 and 101,685

Step by Step Solution

1. Step 1: Write the proportion equation
   65,729 : 101,685 = 101,685 : x
2. Step 2: Convert to fraction form
   65,729/101,685 = 101,685/x
3. Step 3: Cross multiply
   65,729x = 101,685 × 101,685
4. Step 4: Simplify right side
   65,729x = 10,339,839,225
5. Step 5: Solve for x
   x = 10,339,839,225/65,729
6. Step 6: Final answer
   x = 157,310.16