Finding the Third Proportional to 27.98 and 59.34

Step by Step Solution

1. Step 1: Write the proportion equation
   27.98 : 59.34 = 59.34 : x
2. Step 2: Convert to fraction form
   27.98/59.34 = 59.34/x
3. Step 3: Cross multiply
   27.98x = 59.34 × 59.34
4. Step 4: Simplify right side
   27.98x = 3,521.68
5. Step 5: Solve for x
   x = 3,521.68/27.98
6. Step 6: Final answer
   x = 125.84