Finding the Third Proportional to 31.64 and 64.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31.64 : 64.69 = 64.69 : x
2. Step 2: Convert to fraction form
   31.64/64.69 = 64.69/x
3. Step 3: Cross multiply
   31.64x = 64.69 × 64.69
4. Step 4: Simplify right side
   31.64x = 4,184.47
5. Step 5: Solve for x
   x = 4,184.47/31.64
6. Step 6: Final answer
   x = 132.25