Finding the Third Proportional to 1,567.13 and 2,419.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.13 : 2,419.59 = 2,419.59 : x
2. Step 2: Convert to fraction form
   1,567.13/2,419.59 = 2,419.59/x
3. Step 3: Cross multiply
   1,567.13x = 2,419.59 × 2,419.59
4. Step 4: Simplify right side
   1,567.13x = 5,854,433.92
5. Step 5: Solve for x
   x = 5,854,433.92/1,567.13
6. Step 6: Final answer
   x = 3,735.78