Finding the Third Proportional to 59.91 and 109.37

Step by Step Solution

1. Step 1: Write the proportion equation
   59.91 : 109.37 = 109.37 : x
2. Step 2: Convert to fraction form
   59.91/109.37 = 109.37/x
3. Step 3: Cross multiply
   59.91x = 109.37 × 109.37
4. Step 4: Simplify right side
   59.91x = 11,962.04
5. Step 5: Solve for x
   x = 11,962.04/59.91
6. Step 6: Final answer
   x = 199.68