Finding the Third Proportional to 2,474.91 and 5,411.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,474.91 : 5,411.06 = 5,411.06 : x
2. Step 2: Convert to fraction form
   2,474.91/5,411.06 = 5,411.06/x
3. Step 3: Cross multiply
   2,474.91x = 5,411.06 × 5,411.06
4. Step 4: Simplify right side
   2,474.91x = 29,279,597.38
5. Step 5: Solve for x
   x = 29,279,597.38/2,474.91
6. Step 6: Final answer
   x = 11,830.59