Finding the Third Proportional to 35.34 and 52.78

Step by Step Solution

1. Step 1: Write the proportion equation
   35.34 : 52.78 = 52.78 : x
2. Step 2: Convert to fraction form
   35.34/52.78 = 52.78/x
3. Step 3: Cross multiply
   35.34x = 52.78 × 52.78
4. Step 4: Simplify right side
   35.34x = 2,785.86
5. Step 5: Solve for x
   x = 2,785.86/35.34
6. Step 6: Final answer
   x = 78.82