Finding the Third Proportional to 12,616.50 and 18,557.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,616.50 : 18,557.25 = 18,557.25 : x
2. Step 2: Convert to fraction form
   12,616.50/18,557.25 = 18,557.25/x
3. Step 3: Cross multiply
   12,616.50x = 18,557.25 × 18,557.25
4. Step 4: Simplify right side
   12,616.50x = 344,371,527.56
5. Step 5: Solve for x
   x = 344,371,527.56/12,616.50
6. Step 6: Final answer
   x = 27,295.33