Finding the Third Proportional to 53,758.69 and 75,189.94

Step by Step Solution

1. Step 1: Write the proportion equation
   53,758.69 : 75,189.94 = 75,189.94 : x
2. Step 2: Convert to fraction form
   53,758.69/75,189.94 = 75,189.94/x
3. Step 3: Cross multiply
   53,758.69x = 75,189.94 × 75,189.94
4. Step 4: Simplify right side
   53,758.69x = 5,653,526,701.25
5. Step 5: Solve for x
   x = 5,653,526,701.25/53,758.69
6. Step 6: Final answer
   x = 105,164.89