Finding the Third Proportional to 11,689.50 and 25,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,689.50 : 25,342.50 = 25,342.50 : x
2. Step 2: Convert to fraction form
   11,689.50/25,342.50 = 25,342.50/x
3. Step 3: Cross multiply
   11,689.50x = 25,342.50 × 25,342.50
4. Step 4: Simplify right side
   11,689.50x = 642,242,306.25
5. Step 5: Solve for x
   x = 642,242,306.25/11,689.50
6. Step 6: Final answer
   x = 54,941.81