Finding the Third Proportional to 49.85 and 72.81

Step by Step Solution

1. Step 1: Write the proportion equation
   49.85 : 72.81 = 72.81 : x
2. Step 2: Convert to fraction form
   49.85/72.81 = 72.81/x
3. Step 3: Cross multiply
   49.85x = 72.81 × 72.81
4. Step 4: Simplify right side
   49.85x = 5,301.09
5. Step 5: Solve for x
   x = 5,301.09/49.85
6. Step 6: Final answer
   x = 106.34