Finding the Third Proportional to 36,144 and 52,569

Step by Step Solution

1. Step 1: Write the proportion equation
   36,144 : 52,569 = 52,569 : x
2. Step 2: Convert to fraction form
   36,144/52,569 = 52,569/x
3. Step 3: Cross multiply
   36,144x = 52,569 × 52,569
4. Step 4: Simplify right side
   36,144x = 2,763,499,761
5. Step 5: Solve for x
   x = 2,763,499,761/36,144
6. Step 6: Final answer
   x = 76,458.05