Finding the Third Proportional to 38.34 and 56.34

Step by Step Solution

1. Step 1: Write the proportion equation
   38.34 : 56.34 = 56.34 : x
2. Step 2: Convert to fraction form
   38.34/56.34 = 56.34/x
3. Step 3: Cross multiply
   38.34x = 56.34 × 56.34
4. Step 4: Simplify right side
   38.34x = 3,174.62
5. Step 5: Solve for x
   x = 3,174.62/38.34
6. Step 6: Final answer
   x = 82.79