Finding the Third Proportional to 10,026 and 23,049

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 23,049 = 23,049 : x
2. Step 2: Convert to fraction form
   10,026/23,049 = 23,049/x
3. Step 3: Cross multiply
   10,026x = 23,049 × 23,049
4. Step 4: Simplify right side
   10,026x = 531,256,401
5. Step 5: Solve for x
   x = 531,256,401/10,026
6. Step 6: Final answer
   x = 52,987.87