Finding the Third Proportional to 5,494 and 12,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,494 : 12,006.50 = 12,006.50 : x
2. Step 2: Convert to fraction form
   5,494/12,006.50 = 12,006.50/x
3. Step 3: Cross multiply
   5,494x = 12,006.50 × 12,006.50
4. Step 4: Simplify right side
   5,494x = 144,156,042.25
5. Step 5: Solve for x
   x = 144,156,042.25/5,494
6. Step 6: Final answer
   x = 26,238.81