Finding the Third Proportional to 11,924 and 17,536

Step by Step Solution

1. Step 1: Write the proportion equation
   11,924 : 17,536 = 17,536 : x
2. Step 2: Convert to fraction form
   11,924/17,536 = 17,536/x
3. Step 3: Cross multiply
   11,924x = 17,536 × 17,536
4. Step 4: Simplify right side
   11,924x = 307,511,296
5. Step 5: Solve for x
   x = 307,511,296/11,924
6. Step 6: Final answer
   x = 25,789.27