Finding the Third Proportional to 4.78 and 10.34

Step by Step Solution

1. Step 1: Write the proportion equation
   4.78 : 10.34 = 10.34 : x
2. Step 2: Convert to fraction form
   4.78/10.34 = 10.34/x
3. Step 3: Cross multiply
   4.78x = 10.34 × 10.34
4. Step 4: Simplify right side
   4.78x = 106.83
5. Step 5: Solve for x
   x = 106.83/4.78
6. Step 6: Final answer
   x = 22.34