Finding the Third Proportional to 27.76 and 59.09

Step by Step Solution

1. Step 1: Write the proportion equation
   27.76 : 59.09 = 59.09 : x
2. Step 2: Convert to fraction form
   27.76/59.09 = 59.09/x
3. Step 3: Cross multiply
   27.76x = 59.09 × 59.09
4. Step 4: Simplify right side
   27.76x = 3,491.49
5. Step 5: Solve for x
   x = 3,491.49/27.76
6. Step 6: Final answer
   x = 125.75