Finding the Third Proportional to 1,565.16 and 2,422.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.16 : 2,422.41 = 2,422.41 : x
2. Step 2: Convert to fraction form
   1,565.16/2,422.41 = 2,422.41/x
3. Step 3: Cross multiply
   1,565.16x = 2,422.41 × 2,422.41
4. Step 4: Simplify right side
   1,565.16x = 5,868,052.04
5. Step 5: Solve for x
   x = 5,868,052.04/1,565.16
6. Step 6: Final answer
   x = 3,749.18