Finding the Third Proportional to 31.69 and 52.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31.69 : 52.69 = 52.69 : x
2. Step 2: Convert to fraction form
   31.69/52.69 = 52.69/x
3. Step 3: Cross multiply
   31.69x = 52.69 × 52.69
4. Step 4: Simplify right side
   31.69x = 2,775.97
5. Step 5: Solve for x
   x = 2,775.97/31.69
6. Step 6: Final answer
   x = 87.60