Finding the Third Proportional to 10,899 and 16,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,899 : 16,375.50 = 16,375.50 : x
2. Step 2: Convert to fraction form
   10,899/16,375.50 = 16,375.50/x
3. Step 3: Cross multiply
   10,899x = 16,375.50 × 16,375.50
4. Step 4: Simplify right side
   10,899x = 268,157,000.25
5. Step 5: Solve for x
   x = 268,157,000.25/10,899
6. Step 6: Final answer
   x = 24,603.82