Finding the Third Proportional to 27.76 and 59.33

Step by Step Solution

1. Step 1: Write the proportion equation
   27.76 : 59.33 = 59.33 : x
2. Step 2: Convert to fraction form
   27.76/59.33 = 59.33/x
3. Step 3: Cross multiply
   27.76x = 59.33 × 59.33
4. Step 4: Simplify right side
   27.76x = 3,519.59
5. Step 5: Solve for x
   x = 3,519.59/27.76
6. Step 6: Final answer
   x = 126.77