Finding the Third Proportional to 11,677.50 and 16,787.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.50 : 16,787.25 = 16,787.25 : x
2. Step 2: Convert to fraction form
   11,677.50/16,787.25 = 16,787.25/x
3. Step 3: Cross multiply
   11,677.50x = 16,787.25 × 16,787.25
4. Step 4: Simplify right side
   11,677.50x = 281,811,762.56
5. Step 5: Solve for x
   x = 281,811,762.56/11,677.50
6. Step 6: Final answer
   x = 24,132.88