Finding the Third Proportional to 35,022 and 52,569

Step by Step Solution

1. Step 1: Write the proportion equation
   35,022 : 52,569 = 52,569 : x
2. Step 2: Convert to fraction form
   35,022/52,569 = 52,569/x
3. Step 3: Cross multiply
   35,022x = 52,569 × 52,569
4. Step 4: Simplify right side
   35,022x = 2,763,499,761
5. Step 5: Solve for x
   x = 2,763,499,761/35,022
6. Step 6: Final answer
   x = 78,907.54