Finding the Third Proportional to 10,426.50 and 16,152.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426.50 : 16,152.75 = 16,152.75 : x
2. Step 2: Convert to fraction form
   10,426.50/16,152.75 = 16,152.75/x
3. Step 3: Cross multiply
   10,426.50x = 16,152.75 × 16,152.75
4. Step 4: Simplify right side
   10,426.50x = 260,911,332.56
5. Step 5: Solve for x
   x = 260,911,332.56/10,426.50
6. Step 6: Final answer
   x = 25,023.87