Finding the Third Proportional to 49.89 and 75.83

Step by Step Solution

1. Step 1: Write the proportion equation
   49.89 : 75.83 = 75.83 : x
2. Step 2: Convert to fraction form
   49.89/75.83 = 75.83/x
3. Step 3: Cross multiply
   49.89x = 75.83 × 75.83
4. Step 4: Simplify right side
   49.89x = 5,750.50
5. Step 5: Solve for x
   x = 5,750.50/49.89
6. Step 6: Final answer
   x = 115.27