Finding the Third Proportional to 11,727 and 25,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,727 : 25,411.50 = 25,411.50 : x
2. Step 2: Convert to fraction form
   11,727/25,411.50 = 25,411.50/x
3. Step 3: Cross multiply
   11,727x = 25,411.50 × 25,411.50
4. Step 4: Simplify right side
   11,727x = 645,744,332.25
5. Step 5: Solve for x
   x = 645,744,332.25/11,727
6. Step 6: Final answer
   x = 55,064.75