Finding the Third Proportional to 36.91 and 78.89

Step by Step Solution

1. Step 1: Write the proportion equation
   36.91 : 78.89 = 78.89 : x
2. Step 2: Convert to fraction form
   36.91/78.89 = 78.89/x
3. Step 3: Cross multiply
   36.91x = 78.89 × 78.89
4. Step 4: Simplify right side
   36.91x = 6,223.73
5. Step 5: Solve for x
   x = 6,223.73/36.91
6. Step 6: Final answer
   x = 168.60