Finding the Third Proportional to 10,192 and 21,536

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192 : 21,536 = 21,536 : x
2. Step 2: Convert to fraction form
   10,192/21,536 = 21,536/x
3. Step 3: Cross multiply
   10,192x = 21,536 × 21,536
4. Step 4: Simplify right side
   10,192x = 463,799,296
5. Step 5: Solve for x
   x = 463,799,296/10,192
6. Step 6: Final answer
   x = 45,506.21