Finding the Third Proportional to 842.55 and 1,752.38

Step by Step Solution

1. Step 1: Write the proportion equation
   842.55 : 1,752.38 = 1,752.38 : x
2. Step 2: Convert to fraction form
   842.55/1,752.38 = 1,752.38/x
3. Step 3: Cross multiply
   842.55x = 1,752.38 × 1,752.38
4. Step 4: Simplify right side
   842.55x = 3,070,823.27
5. Step 5: Solve for x
   x = 3,070,823.27/842.55
6. Step 6: Final answer
   x = 3,644.68