Finding the Third Proportional to 530.72 and 577.55

Step by Step Solution

1. Step 1: Write the proportion equation
   530.72 : 577.55 = 577.55 : x
2. Step 2: Convert to fraction form
   530.72/577.55 = 577.55/x
3. Step 3: Cross multiply
   530.72x = 577.55 × 577.55
4. Step 4: Simplify right side
   530.72x = 333,560.39
5. Step 5: Solve for x
   x = 333,560.39/530.72
6. Step 6: Final answer
   x = 628.51