Finding the Third Proportional to 34.59 and 64.55

Step by Step Solution

1. Step 1: Write the proportion equation
   34.59 : 64.55 = 64.55 : x
2. Step 2: Convert to fraction form
   34.59/64.55 = 64.55/x
3. Step 3: Cross multiply
   34.59x = 64.55 × 64.55
4. Step 4: Simplify right side
   34.59x = 4,166.30
5. Step 5: Solve for x
   x = 4,166.30/34.59
6. Step 6: Final answer
   x = 120.44