Finding the Third Proportional to 49,099.50 and 75,512.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,099.50 : 75,512.25 = 75,512.25 : x
2. Step 2: Convert to fraction form
   49,099.50/75,512.25 = 75,512.25/x
3. Step 3: Cross multiply
   49,099.50x = 75,512.25 × 75,512.25
4. Step 4: Simplify right side
   49,099.50x = 5,702,099,900.06
5. Step 5: Solve for x
   x = 5,702,099,900.06/49,099.50
6. Step 6: Final answer
   x = 116,133.56