Finding the Third Proportional to 5,494 and 12,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,494 : 12,081.50 = 12,081.50 : x
2. Step 2: Convert to fraction form
   5,494/12,081.50 = 12,081.50/x
3. Step 3: Cross multiply
   5,494x = 12,081.50 × 12,081.50
4. Step 4: Simplify right side
   5,494x = 145,962,642.25
5. Step 5: Solve for x
   x = 145,962,642.25/5,494
6. Step 6: Final answer
   x = 26,567.65