Finding the Third Proportional to 27.84 and 59.17

Step by Step Solution

1. Step 1: Write the proportion equation
   27.84 : 59.17 = 59.17 : x
2. Step 2: Convert to fraction form
   27.84/59.17 = 59.17/x
3. Step 3: Cross multiply
   27.84x = 59.17 × 59.17
4. Step 4: Simplify right side
   27.84x = 3,500.85
5. Step 5: Solve for x
   x = 3,500.85/27.84
6. Step 6: Final answer
   x = 125.73