Finding the Third Proportional to 7,916.50 and 12,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,916.50 : 12,257.50 = 12,257.50 : x
2. Step 2: Convert to fraction form
   7,916.50/12,257.50 = 12,257.50/x
3. Step 3: Cross multiply
   7,916.50x = 12,257.50 × 12,257.50
4. Step 4: Simplify right side
   7,916.50x = 150,246,306.25
5. Step 5: Solve for x
   x = 150,246,306.25/7,916.50
6. Step 6: Final answer
   x = 18,978.88