Finding the Third Proportional to 59.48 and 82.27

Step by Step Solution

1. Step 1: Write the proportion equation
   59.48 : 82.27 = 82.27 : x
2. Step 2: Convert to fraction form
   59.48/82.27 = 82.27/x
3. Step 3: Cross multiply
   59.48x = 82.27 × 82.27
4. Step 4: Simplify right side
   59.48x = 6,767.63
5. Step 5: Solve for x
   x = 6,767.63/59.48
6. Step 6: Final answer
   x = 113.77