Finding the Third Proportional to 49,991 and 75,500

Step by Step Solution

1. Step 1: Write the proportion equation
   49,991 : 75,500 = 75,500 : x
2. Step 2: Convert to fraction form
   49,991/75,500 = 75,500/x
3. Step 3: Cross multiply
   49,991x = 75,500 × 75,500
4. Step 4: Simplify right side
   49,991x = 5,700,250,000
5. Step 5: Solve for x
   x = 5,700,250,000/49,991
6. Step 6: Final answer
   x = 114,025.52