Finding the Third Proportional to 1,616.25 and 2,422.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,616.25 : 2,422.13 = 2,422.13 : x
2. Step 2: Convert to fraction form
   1,616.25/2,422.13 = 2,422.13/x
3. Step 3: Cross multiply
   1,616.25x = 2,422.13 × 2,422.13
4. Step 4: Simplify right side
   1,616.25x = 5,866,689.52
5. Step 5: Solve for x
   x = 5,866,689.52/1,616.25
6. Step 6: Final answer
   x = 3,629.82