Finding the Third Proportional to 530.72 and 775.41

Step by Step Solution

1. Step 1: Write the proportion equation
   530.72 : 775.41 = 775.41 : x
2. Step 2: Convert to fraction form
   530.72/775.41 = 775.41/x
3. Step 3: Cross multiply
   530.72x = 775.41 × 775.41
4. Step 4: Simplify right side
   530.72x = 601,254.85
5. Step 5: Solve for x
   x = 601,254.85/530.72
6. Step 6: Final answer
   x = 1,132.91