Finding the Third Proportional to 51,617 and 72,685

Step by Step Solution

1. Step 1: Write the proportion equation
   51,617 : 72,685 = 72,685 : x
2. Step 2: Convert to fraction form
   51,617/72,685 = 72,685/x
3. Step 3: Cross multiply
   51,617x = 72,685 × 72,685
4. Step 4: Simplify right side
   51,617x = 5,283,109,225
5. Step 5: Solve for x
   x = 5,283,109,225/51,617
6. Step 6: Final answer
   x = 102,352.12