Finding the Third Proportional to 49,538.25 and 75,255.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,538.25 : 75,255.75 = 75,255.75 : x
2. Step 2: Convert to fraction form
   49,538.25/75,255.75 = 75,255.75/x
3. Step 3: Cross multiply
   49,538.25x = 75,255.75 × 75,255.75
4. Step 4: Simplify right side
   49,538.25x = 5,663,427,908.06
5. Step 5: Solve for x
   x = 5,663,427,908.06/49,538.25
6. Step 6: Final answer
   x = 114,324.34