Finding the Third Proportional to 10,596.88 and 16,382.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596.88 : 16,382.50 = 16,382.50 : x
2. Step 2: Convert to fraction form
   10,596.88/16,382.50 = 16,382.50/x
3. Step 3: Cross multiply
   10,596.88x = 16,382.50 × 16,382.50
4. Step 4: Simplify right side
   10,596.88x = 268,386,306.25
5. Step 5: Solve for x
   x = 268,386,306.25/10,596.88
6. Step 6: Final answer
   x = 25,326.93