Finding the Third Proportional to 35.06 and 73.59

Step by Step Solution

1. Step 1: Write the proportion equation
   35.06 : 73.59 = 73.59 : x
2. Step 2: Convert to fraction form
   35.06/73.59 = 73.59/x
3. Step 3: Cross multiply
   35.06x = 73.59 × 73.59
4. Step 4: Simplify right side
   35.06x = 5,416.04
5. Step 5: Solve for x
   x = 5,416.04/35.06
6. Step 6: Final answer
   x = 154.47