Finding the Third Proportional to 22,872 and 35,643

Step by Step Solution

1. Step 1: Write the proportion equation
   22,872 : 35,643 = 35,643 : x
2. Step 2: Convert to fraction form
   22,872/35,643 = 35,643/x
3. Step 3: Cross multiply
   22,872x = 35,643 × 35,643
4. Step 4: Simplify right side
   22,872x = 1,270,423,449
5. Step 5: Solve for x
   x = 1,270,423,449/22,872
6. Step 6: Final answer
   x = 55,544.92