Finding the Third Proportional to 49,196.25 and 75,966.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,196.25 : 75,966.75 = 75,966.75 : x
2. Step 2: Convert to fraction form
   49,196.25/75,966.75 = 75,966.75/x
3. Step 3: Cross multiply
   49,196.25x = 75,966.75 × 75,966.75
4. Step 4: Simplify right side
   49,196.25x = 5,770,947,105.56
5. Step 5: Solve for x
   x = 5,770,947,105.56/49,196.25
6. Step 6: Final answer
   x = 117,304.61