Finding the Third Proportional to 10,464 and 23,002

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464 : 23,002 = 23,002 : x
2. Step 2: Convert to fraction form
   10,464/23,002 = 23,002/x
3. Step 3: Cross multiply
   10,464x = 23,002 × 23,002
4. Step 4: Simplify right side
   10,464x = 529,092,004
5. Step 5: Solve for x
   x = 529,092,004/10,464
6. Step 6: Final answer
   x = 50,563.07