Finding the Third Proportional to 8,572 and 12,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,572 : 12,535.50 = 12,535.50 : x
2. Step 2: Convert to fraction form
   8,572/12,535.50 = 12,535.50/x
3. Step 3: Cross multiply
   8,572x = 12,535.50 × 12,535.50
4. Step 4: Simplify right side
   8,572x = 157,138,760.25
5. Step 5: Solve for x
   x = 157,138,760.25/8,572
6. Step 6: Final answer
   x = 18,331.63