Finding the Third Proportional to 1,147.29 and 2,499.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.29 : 2,499.61 = 2,499.61 : x
2. Step 2: Convert to fraction form
   1,147.29/2,499.61 = 2,499.61/x
3. Step 3: Cross multiply
   1,147.29x = 2,499.61 × 2,499.61
4. Step 4: Simplify right side
   1,147.29x = 6,248,047.03
5. Step 5: Solve for x
   x = 6,248,047.03/1,147.29
6. Step 6: Final answer
   x = 5,445.92