Finding the Third Proportional to 35,024 and 75,002

Step by Step Solution

1. Step 1: Write the proportion equation
   35,024 : 75,002 = 75,002 : x
2. Step 2: Convert to fraction form
   35,024/75,002 = 75,002/x
3. Step 3: Cross multiply
   35,024x = 75,002 × 75,002
4. Step 4: Simplify right side
   35,024x = 5,625,300,004
5. Step 5: Solve for x
   x = 5,625,300,004/35,024
6. Step 6: Final answer
   x = 160,612.72