Finding the Third Proportional to 16,875 and 25,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,875 : 25,564.50 = 25,564.50 : x
2. Step 2: Convert to fraction form
   16,875/25,564.50 = 25,564.50/x
3. Step 3: Cross multiply
   16,875x = 25,564.50 × 25,564.50
4. Step 4: Simplify right side
   16,875x = 653,543,660.25
5. Step 5: Solve for x
   x = 653,543,660.25/16,875
6. Step 6: Final answer
   x = 38,728.51