Finding the Third Proportional to 27.61 and 59.41

Step by Step Solution

1. Step 1: Write the proportion equation
   27.61 : 59.41 = 59.41 : x
2. Step 2: Convert to fraction form
   27.61/59.41 = 59.41/x
3. Step 3: Cross multiply
   27.61x = 59.41 × 59.41
4. Step 4: Simplify right side
   27.61x = 3,530.03
5. Step 5: Solve for x
   x = 3,530.03/27.61
6. Step 6: Final answer
   x = 127.86