Finding the Third Proportional to 5,538 and 12,115.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538 : 12,115.50 = 12,115.50 : x
2. Step 2: Convert to fraction form
   5,538/12,115.50 = 12,115.50/x
3. Step 3: Cross multiply
   5,538x = 12,115.50 × 12,115.50
4. Step 4: Simplify right side
   5,538x = 146,785,340.25
5. Step 5: Solve for x
   x = 146,785,340.25/5,538
6. Step 6: Final answer
   x = 26,505.12