Finding the Third Proportional to 17,869 and 25,643

Step by Step Solution

1. Step 1: Write the proportion equation
   17,869 : 25,643 = 25,643 : x
2. Step 2: Convert to fraction form
   17,869/25,643 = 25,643/x
3. Step 3: Cross multiply
   17,869x = 25,643 × 25,643
4. Step 4: Simplify right side
   17,869x = 657,563,449
5. Step 5: Solve for x
   x = 657,563,449/17,869
6. Step 6: Final answer
   x = 36,799.12