Finding the Third Proportional to 1,258.59 and 2,719.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.59 : 2,719.69 = 2,719.69 : x
2. Step 2: Convert to fraction form
   1,258.59/2,719.69 = 2,719.69/x
3. Step 3: Cross multiply
   1,258.59x = 2,719.69 × 2,719.69
4. Step 4: Simplify right side
   1,258.59x = 7,396,700.10
5. Step 5: Solve for x
   x = 7,396,700.10/1,258.59
6. Step 6: Final answer
   x = 5,876.96