Finding the Third Proportional to 31.32 and 64.07

Step by Step Solution

1. Step 1: Write the proportion equation
   31.32 : 64.07 = 64.07 : x
2. Step 2: Convert to fraction form
   31.32/64.07 = 64.07/x
3. Step 3: Cross multiply
   31.32x = 64.07 × 64.07
4. Step 4: Simplify right side
   31.32x = 4,105.26
5. Step 5: Solve for x
   x = 4,105.26/31.32
6. Step 6: Final answer
   x = 131.06