Finding the Third Proportional to 7,182.50 and 15,234.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,182.50 : 15,234.63 = 15,234.63 : x
2. Step 2: Convert to fraction form
   7,182.50/15,234.63 = 15,234.63/x
3. Step 3: Cross multiply
   7,182.50x = 15,234.63 × 15,234.63
4. Step 4: Simplify right side
   7,182.50x = 232,093,798.89
5. Step 5: Solve for x
   x = 232,093,798.89/7,182.50
6. Step 6: Final answer
   x = 32,313.79