Finding the Third Proportional to 373.88 and 871.69

Step by Step Solution

1. Step 1: Write the proportion equation
   373.88 : 871.69 = 871.69 : x
2. Step 2: Convert to fraction form
   373.88/871.69 = 871.69/x
3. Step 3: Cross multiply
   373.88x = 871.69 × 871.69
4. Step 4: Simplify right side
   373.88x = 759,839.10
5. Step 5: Solve for x
   x = 759,839.10/373.88
6. Step 6: Final answer
   x = 2,032.33