Finding the Third Proportional to 34.96 and 52.52

Step by Step Solution

1. Step 1: Write the proportion equation
   34.96 : 52.52 = 52.52 : x
2. Step 2: Convert to fraction form
   34.96/52.52 = 52.52/x
3. Step 3: Cross multiply
   34.96x = 52.52 × 52.52
4. Step 4: Simplify right side
   34.96x = 2,758.71
5. Step 5: Solve for x
   x = 2,758.71/34.96
6. Step 6: Final answer
   x = 78.90