Finding the Third Proportional to 402.50 and 1,076

Step by Step Solution

1. Step 1: Write the proportion equation
   402.50 : 1,076 = 1,076 : x
2. Step 2: Convert to fraction form
   402.50/1,076 = 1,076/x
3. Step 3: Cross multiply
   402.50x = 1,076 × 1,076
4. Step 4: Simplify right side
   402.50x = 1,157,776
5. Step 5: Solve for x
   x = 1,157,776/402.50
6. Step 6: Final answer
   x = 2,876.46