Finding the Third Proportional to 27.84 and 32.91

Step by Step Solution

1. Step 1: Write the proportion equation
   27.84 : 32.91 = 32.91 : x
2. Step 2: Convert to fraction form
   27.84/32.91 = 32.91/x
3. Step 3: Cross multiply
   27.84x = 32.91 × 32.91
4. Step 4: Simplify right side
   27.84x = 1,082.82
5. Step 5: Solve for x
   x = 1,082.82/27.84
6. Step 6: Final answer
   x = 38.89