Finding the Third Proportional to 1,153.30 and 2,474.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.30 : 2,474.61 = 2,474.61 : x
2. Step 2: Convert to fraction form
   1,153.30/2,474.61 = 2,474.61/x
3. Step 3: Cross multiply
   1,153.30x = 2,474.61 × 2,474.61
4. Step 4: Simplify right side
   1,153.30x = 6,123,710.89
5. Step 5: Solve for x
   x = 6,123,710.89/1,153.30
6. Step 6: Final answer
   x = 5,309.73