Finding the Third Proportional to 677.50 and 1,401.88

Step by Step Solution

1. Step 1: Write the proportion equation
   677.50 : 1,401.88 = 1,401.88 : x
2. Step 2: Convert to fraction form
   677.50/1,401.88 = 1,401.88/x
3. Step 3: Cross multiply
   677.50x = 1,401.88 × 1,401.88
4. Step 4: Simplify right side
   677.50x = 1,965,253.52
5. Step 5: Solve for x
   x = 1,965,253.52/677.50
6. Step 6: Final answer
   x = 2,900.74