Finding the Third Proportional to 532.69 and 764.72

Step by Step Solution

1. Step 1: Write the proportion equation
   532.69 : 764.72 = 764.72 : x
2. Step 2: Convert to fraction form
   532.69/764.72 = 764.72/x
3. Step 3: Cross multiply
   532.69x = 764.72 × 764.72
4. Step 4: Simplify right side
   532.69x = 584,794.77
5. Step 5: Solve for x
   x = 584,794.77/532.69
6. Step 6: Final answer
   x = 1,097.82