Finding the Third Proportional to 10,034 and 23,105

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034 : 23,105 = 23,105 : x
2. Step 2: Convert to fraction form
   10,034/23,105 = 23,105/x
3. Step 3: Cross multiply
   10,034x = 23,105 × 23,105
4. Step 4: Simplify right side
   10,034x = 533,841,025
5. Step 5: Solve for x
   x = 533,841,025/10,034
6. Step 6: Final answer
   x = 53,203.21