Finding the Third Proportional to 1,032.25 and 1,601.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,032.25 : 1,601.06 = 1,601.06 : x
2. Step 2: Convert to fraction form
   1,032.25/1,601.06 = 1,601.06/x
3. Step 3: Cross multiply
   1,032.25x = 1,601.06 × 1,601.06
4. Step 4: Simplify right side
   1,032.25x = 2,563,401.13
5. Step 5: Solve for x
   x = 2,563,401.13/1,032.25
6. Step 6: Final answer
   x = 2,483.31