Finding the Third Proportional to 2,545.50 and 5,475.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,545.50 : 5,475.75 = 5,475.75 : x
2. Step 2: Convert to fraction form
   2,545.50/5,475.75 = 5,475.75/x
3. Step 3: Cross multiply
   2,545.50x = 5,475.75 × 5,475.75
4. Step 4: Simplify right side
   2,545.50x = 29,983,838.06
5. Step 5: Solve for x
   x = 29,983,838.06/2,545.50
6. Step 6: Final answer
   x = 11,779.15