Finding the Third Proportional to 12,877.50 and 18,380

Step by Step Solution

1. Step 1: Write the proportion equation
   12,877.50 : 18,380 = 18,380 : x
2. Step 2: Convert to fraction form
   12,877.50/18,380 = 18,380/x
3. Step 3: Cross multiply
   12,877.50x = 18,380 × 18,380
4. Step 4: Simplify right side
   12,877.50x = 337,824,400
5. Step 5: Solve for x
   x = 337,824,400/12,877.50
6. Step 6: Final answer
   x = 26,233.69