Finding the Third Proportional to 27.84 and 62.86

Step by Step Solution

1. Step 1: Write the proportion equation
   27.84 : 62.86 = 62.86 : x
2. Step 2: Convert to fraction form
   27.84/62.86 = 62.86/x
3. Step 3: Cross multiply
   27.84x = 62.86 × 62.86
4. Step 4: Simplify right side
   27.84x = 3,951.30
5. Step 5: Solve for x
   x = 3,951.30/27.84
6. Step 6: Final answer
   x = 141.91