Finding the Third Proportional to 2,591.50 and 5,490.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,591.50 : 5,490.75 = 5,490.75 : x
2. Step 2: Convert to fraction form
   2,591.50/5,490.75 = 5,490.75/x
3. Step 3: Cross multiply
   2,591.50x = 5,490.75 × 5,490.75
4. Step 4: Simplify right side
   2,591.50x = 30,148,335.56
5. Step 5: Solve for x
   x = 30,148,335.56/2,591.50
6. Step 6: Final answer
   x = 11,633.55