Finding the Third Proportional to 10,875 and 16,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,875 : 16,744.50 = 16,744.50 : x
2. Step 2: Convert to fraction form
   10,875/16,744.50 = 16,744.50/x
3. Step 3: Cross multiply
   10,875x = 16,744.50 × 16,744.50
4. Step 4: Simplify right side
   10,875x = 280,378,280.25
5. Step 5: Solve for x
   x = 280,378,280.25/10,875
6. Step 6: Final answer
   x = 25,781.91