Finding the Third Proportional to 10,572 and 15,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,572 : 15,832.50 = 15,832.50 : x
2. Step 2: Convert to fraction form
   10,572/15,832.50 = 15,832.50/x
3. Step 3: Cross multiply
   10,572x = 15,832.50 × 15,832.50
4. Step 4: Simplify right side
   10,572x = 250,668,056.25
5. Step 5: Solve for x
   x = 250,668,056.25/10,572
6. Step 6: Final answer
   x = 23,710.56