Finding the Third Proportional to 11,340 and 12,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,340 : 12,982.50 = 12,982.50 : x
2. Step 2: Convert to fraction form
   11,340/12,982.50 = 12,982.50/x
3. Step 3: Cross multiply
   11,340x = 12,982.50 × 12,982.50
4. Step 4: Simplify right side
   11,340x = 168,545,306.25
5. Step 5: Solve for x
   x = 168,545,306.25/11,340
6. Step 6: Final answer
   x = 14,862.90