Finding the Third Proportional to 9,772.88 and 15,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,772.88 : 15,142.50 = 15,142.50 : x
2. Step 2: Convert to fraction form
   9,772.88/15,142.50 = 15,142.50/x
3. Step 3: Cross multiply
   9,772.88x = 15,142.50 × 15,142.50
4. Step 4: Simplify right side
   9,772.88x = 229,295,306.25
5. Step 5: Solve for x
   x = 229,295,306.25/9,772.88
6. Step 6: Final answer
   x = 23,462.42