Finding the Third Proportional to 33,007.50 and 75,998.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,007.50 : 75,998.25 = 75,998.25 : x
2. Step 2: Convert to fraction form
   33,007.50/75,998.25 = 75,998.25/x
3. Step 3: Cross multiply
   33,007.50x = 75,998.25 × 75,998.25
4. Step 4: Simplify right side
   33,007.50x = 5,775,734,003.06
5. Step 5: Solve for x
   x = 5,775,734,003.06/33,007.50
6. Step 6: Final answer
   x = 174,982.47