Finding the Third Proportional to 10,540 and 23,000

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 23,000 = 23,000 : x
2. Step 2: Convert to fraction form
   10,540/23,000 = 23,000/x
3. Step 3: Cross multiply
   10,540x = 23,000 × 23,000
4. Step 4: Simplify right side
   10,540x = 529,000,000
5. Step 5: Solve for x
   x = 529,000,000/10,540
6. Step 6: Final answer
   x = 50,189.75