Finding the Third Proportional to 53,759.25 and 75,189.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,759.25 : 75,189.75 = 75,189.75 : x
2. Step 2: Convert to fraction form
   53,759.25/75,189.75 = 75,189.75/x
3. Step 3: Cross multiply
   53,759.25x = 75,189.75 × 75,189.75
4. Step 4: Simplify right side
   53,759.25x = 5,653,498,505.06
5. Step 5: Solve for x
   x = 5,653,498,505.06/53,759.25
6. Step 6: Final answer
   x = 105,163.27