Finding the Third Proportional to 1,147.92 and 1,723.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.92 : 1,723.78 = 1,723.78 : x
2. Step 2: Convert to fraction form
   1,147.92/1,723.78 = 1,723.78/x
3. Step 3: Cross multiply
   1,147.92x = 1,723.78 × 1,723.78
4. Step 4: Simplify right side
   1,147.92x = 2,971,421.80
5. Step 5: Solve for x
   x = 2,971,421.80/1,147.92
6. Step 6: Final answer
   x = 2,588.52