Finding the Third Proportional to 2,499.71 and 5,307.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,499.71 : 5,307.61 = 5,307.61 : x
2. Step 2: Convert to fraction form
   2,499.71/5,307.61 = 5,307.61/x
3. Step 3: Cross multiply
   2,499.71x = 5,307.61 × 5,307.61
4. Step 4: Simplify right side
   2,499.71x = 28,170,717.28
5. Step 5: Solve for x
   x = 28,170,717.28/2,499.71
6. Step 6: Final answer
   x = 11,269.57