Finding the Third Proportional to 33.06 and 64.06

Step by Step Solution

1. Step 1: Write the proportion equation
   33.06 : 64.06 = 64.06 : x
2. Step 2: Convert to fraction form
   33.06/64.06 = 64.06/x
3. Step 3: Cross multiply
   33.06x = 64.06 × 64.06
4. Step 4: Simplify right side
   33.06x = 4,104.00
5. Step 5: Solve for x
   x = 4,104.00/33.06
6. Step 6: Final answer
   x = 124.13