Finding the Third Proportional to 1,074.75 and 1,666.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.75 : 1,666.88 = 1,666.88 : x
2. Step 2: Convert to fraction form
   1,074.75/1,666.88 = 1,666.88/x
3. Step 3: Cross multiply
   1,074.75x = 1,666.88 × 1,666.88
4. Step 4: Simplify right side
   1,074.75x = 2,778,472.27
5. Step 5: Solve for x
   x = 2,778,472.27/1,074.75
6. Step 6: Final answer
   x = 2,585.23