Finding the Third Proportional to 35.34 and 77.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35.34 : 77.06 = 77.06 : x
2. Step 2: Convert to fraction form
   35.34/77.06 = 77.06/x
3. Step 3: Cross multiply
   35.34x = 77.06 × 77.06
4. Step 4: Simplify right side
   35.34x = 5,938.63
5. Step 5: Solve for x
   x = 5,938.63/35.34
6. Step 6: Final answer
   x = 168.02