Finding the Third Proportional to 742.92 and 1,627.59

Step by Step Solution

1. Step 1: Write the proportion equation
   742.92 : 1,627.59 = 1,627.59 : x
2. Step 2: Convert to fraction form
   742.92/1,627.59 = 1,627.59/x
3. Step 3: Cross multiply
   742.92x = 1,627.59 × 1,627.59
4. Step 4: Simplify right side
   742.92x = 2,649,061.42
5. Step 5: Solve for x
   x = 2,649,061.42/742.92
6. Step 6: Final answer
   x = 3,565.73