Finding the Third Proportional to 16,869 and 25,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,869 : 25,609.50 = 25,609.50 : x
2. Step 2: Convert to fraction form
   16,869/25,609.50 = 25,609.50/x
3. Step 3: Cross multiply
   16,869x = 25,609.50 × 25,609.50
4. Step 4: Simplify right side
   16,869x = 655,846,490.25
5. Step 5: Solve for x
   x = 655,846,490.25/16,869
6. Step 6: Final answer
   x = 38,878.80