Finding the Third Proportional to 35,074.50 and 75,083.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,074.50 : 75,083.25 = 75,083.25 : x
2. Step 2: Convert to fraction form
   35,074.50/75,083.25 = 75,083.25/x
3. Step 3: Cross multiply
   35,074.50x = 75,083.25 × 75,083.25
4. Step 4: Simplify right side
   35,074.50x = 5,637,494,430.56
5. Step 5: Solve for x
   x = 5,637,494,430.56/35,074.50
6. Step 6: Final answer
   x = 160,729.15