Finding the Third Proportional to 10,861.88 and 16,385.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,861.88 : 16,385.63 = 16,385.63 : x
2. Step 2: Convert to fraction form
   10,861.88/16,385.63 = 16,385.63/x
3. Step 3: Cross multiply
   10,861.88x = 16,385.63 × 16,385.63
4. Step 4: Simplify right side
   10,861.88x = 268,488,706.64
5. Step 5: Solve for x
   x = 268,488,706.64/10,861.88
6. Step 6: Final answer
   x = 24,718.45