Finding the Third Proportional to 28.28 and 59.76

Step by Step Solution

1. Step 1: Write the proportion equation
   28.28 : 59.76 = 59.76 : x
2. Step 2: Convert to fraction form
   28.28/59.76 = 59.76/x
3. Step 3: Cross multiply
   28.28x = 59.76 × 59.76
4. Step 4: Simplify right side
   28.28x = 3,571.40
5. Step 5: Solve for x
   x = 3,571.40/28.28
6. Step 6: Final answer
   x = 126.29