Finding the Third Proportional to 10,536 and 23,016

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536 : 23,016 = 23,016 : x
2. Step 2: Convert to fraction form
   10,536/23,016 = 23,016/x
3. Step 3: Cross multiply
   10,536x = 23,016 × 23,016
4. Step 4: Simplify right side
   10,536x = 529,736,256
5. Step 5: Solve for x
   x = 529,736,256/10,536
6. Step 6: Final answer
   x = 50,278.69