Finding the Third Proportional to 10,597.50 and 16,255.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,597.50 : 16,255.69 = 16,255.69 : x
2. Step 2: Convert to fraction form
   10,597.50/16,255.69 = 16,255.69/x
3. Step 3: Cross multiply
   10,597.50x = 16,255.69 × 16,255.69
4. Step 4: Simplify right side
   10,597.50x = 264,247,376.10
5. Step 5: Solve for x
   x = 264,247,376.10/10,597.50
6. Step 6: Final answer
   x = 24,934.88