Finding the Third Proportional to 59.91 and 109.69

Step by Step Solution

1. Step 1: Write the proportion equation
   59.91 : 109.69 = 109.69 : x
2. Step 2: Convert to fraction form
   59.91/109.69 = 109.69/x
3. Step 3: Cross multiply
   59.91x = 109.69 × 109.69
4. Step 4: Simplify right side
   59.91x = 12,031.35
5. Step 5: Solve for x
   x = 12,031.35/59.91
6. Step 6: Final answer
   x = 200.84