Finding the Third Proportional to 1,098.56 and 1,617.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.56 : 1,617.47 = 1,617.47 : x
2. Step 2: Convert to fraction form
   1,098.56/1,617.47 = 1,617.47/x
3. Step 3: Cross multiply
   1,098.56x = 1,617.47 × 1,617.47
4. Step 4: Simplify right side
   1,098.56x = 2,616,205.16
5. Step 5: Solve for x
   x = 2,616,205.16/1,098.56
6. Step 6: Final answer
   x = 2,381.48