Finding the Third Proportional to 22.31 and 34.78

Step by Step Solution

1. Step 1: Write the proportion equation
   22.31 : 34.78 = 34.78 : x
2. Step 2: Convert to fraction form
   22.31/34.78 = 34.78/x
3. Step 3: Cross multiply
   22.31x = 34.78 × 34.78
4. Step 4: Simplify right side
   22.31x = 1,209.74
5. Step 5: Solve for x
   x = 1,209.74/22.31
6. Step 6: Final answer
   x = 54.22