Finding the Third Proportional to 34.78 and 51.94

Step by Step Solution

1. Step 1: Write the proportion equation
   34.78 : 51.94 = 51.94 : x
2. Step 2: Convert to fraction form
   34.78/51.94 = 51.94/x
3. Step 3: Cross multiply
   34.78x = 51.94 × 51.94
4. Step 4: Simplify right side
   34.78x = 2,697.50
5. Step 5: Solve for x
   x = 2,697.50/34.78
6. Step 6: Final answer
   x = 77.56