Finding the Third Proportional to 34.59 and 75.94

Step by Step Solution

1. Step 1: Write the proportion equation
   34.59 : 75.94 = 75.94 : x
2. Step 2: Convert to fraction form
   34.59/75.94 = 75.94/x
3. Step 3: Cross multiply
   34.59x = 75.94 × 75.94
4. Step 4: Simplify right side
   34.59x = 5,766.50
5. Step 5: Solve for x
   x = 5,766.50/34.59
6. Step 6: Final answer
   x = 166.69