Finding the Third Proportional to 27.69 and 59.96

Step by Step Solution

1. Step 1: Write the proportion equation
   27.69 : 59.96 = 59.96 : x
2. Step 2: Convert to fraction form
   27.69/59.96 = 59.96/x
3. Step 3: Cross multiply
   27.69x = 59.96 × 59.96
4. Step 4: Simplify right side
   27.69x = 3,595.08
5. Step 5: Solve for x
   x = 3,595.08/27.69
6. Step 6: Final answer
   x = 129.85