Finding the Third Proportional to 10,147.50 and 22,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.50 : 22,007.25 = 22,007.25 : x
2. Step 2: Convert to fraction form
   10,147.50/22,007.25 = 22,007.25/x
3. Step 3: Cross multiply
   10,147.50x = 22,007.25 × 22,007.25
4. Step 4: Simplify right side
   10,147.50x = 484,319,052.56
5. Step 5: Solve for x
   x = 484,319,052.56/10,147.50
6. Step 6: Final answer
   x = 47,727.92