Finding the Third Proportional to 5,488.50 and 12,096.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,488.50 : 12,096.75 = 12,096.75 : x
2. Step 2: Convert to fraction form
   5,488.50/12,096.75 = 12,096.75/x
3. Step 3: Cross multiply
   5,488.50x = 12,096.75 × 12,096.75
4. Step 4: Simplify right side
   5,488.50x = 146,331,360.56
5. Step 5: Solve for x
   x = 146,331,360.56/5,488.50
6. Step 6: Final answer
   x = 26,661.45