Finding the Third Proportional to 17,838 and 25,536

Step by Step Solution

1. Step 1: Write the proportion equation
   17,838 : 25,536 = 25,536 : x
2. Step 2: Convert to fraction form
   17,838/25,536 = 25,536/x
3. Step 3: Cross multiply
   17,838x = 25,536 × 25,536
4. Step 4: Simplify right side
   17,838x = 652,087,296
5. Step 5: Solve for x
   x = 652,087,296/17,838
6. Step 6: Final answer
   x = 36,556.08