Finding the Third Proportional to 49.74 and 109.61

Step by Step Solution

1. Step 1: Write the proportion equation
   49.74 : 109.61 = 109.61 : x
2. Step 2: Convert to fraction form
   49.74/109.61 = 109.61/x
3. Step 3: Cross multiply
   49.74x = 109.61 × 109.61
4. Step 4: Simplify right side
   49.74x = 12,014.00
5. Step 5: Solve for x
   x = 12,014.00/49.74
6. Step 6: Final answer
   x = 241.53