Finding the Third Proportional to 12,000 and 21,536

Step by Step Solution

1. Step 1: Write the proportion equation
   12,000 : 21,536 = 21,536 : x
2. Step 2: Convert to fraction form
   12,000/21,536 = 21,536/x
3. Step 3: Cross multiply
   12,000x = 21,536 × 21,536
4. Step 4: Simplify right side
   12,000x = 463,799,296
5. Step 5: Solve for x
   x = 463,799,296/12,000
6. Step 6: Final answer
   x = 38,649.94