Finding the Third Proportional to 49,897.69 and 75,363.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,897.69 : 75,363.75 = 75,363.75 : x
2. Step 2: Convert to fraction form
   49,897.69/75,363.75 = 75,363.75/x
3. Step 3: Cross multiply
   49,897.69x = 75,363.75 × 75,363.75
4. Step 4: Simplify right side
   49,897.69x = 5,679,694,814.06
5. Step 5: Solve for x
   x = 5,679,694,814.06/49,897.69
6. Step 6: Final answer
   x = 113,826.81