Finding the Third Proportional to 1,234.97 and 2,719.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,234.97 : 2,719.69 = 2,719.69 : x
2. Step 2: Convert to fraction form
   1,234.97/2,719.69 = 2,719.69/x
3. Step 3: Cross multiply
   1,234.97x = 2,719.69 × 2,719.69
4. Step 4: Simplify right side
   1,234.97x = 7,396,700.10
5. Step 5: Solve for x
   x = 7,396,700.10/1,234.97
6. Step 6: Final answer
   x = 5,989.38