Finding the Third Proportional to 11,646.50 and 25,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646.50 : 25,142.50 = 25,142.50 : x
2. Step 2: Convert to fraction form
   11,646.50/25,142.50 = 25,142.50/x
3. Step 3: Cross multiply
   11,646.50x = 25,142.50 × 25,142.50
4. Step 4: Simplify right side
   11,646.50x = 632,145,306.25
5. Step 5: Solve for x
   x = 632,145,306.25/11,646.50
6. Step 6: Final answer
   x = 54,277.71