Finding the Third Proportional to 35.47 and 76.61

Step by Step Solution

1. Step 1: Write the proportion equation
   35.47 : 76.61 = 76.61 : x
2. Step 2: Convert to fraction form
   35.47/76.61 = 76.61/x
3. Step 3: Cross multiply
   35.47x = 76.61 × 76.61
4. Step 4: Simplify right side
   35.47x = 5,868.40
5. Step 5: Solve for x
   x = 5,868.40/35.47
6. Step 6: Final answer
   x = 165.43