Finding the Third Proportional to 10,596 and 23,040

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596 : 23,040 = 23,040 : x
2. Step 2: Convert to fraction form
   10,596/23,040 = 23,040/x
3. Step 3: Cross multiply
   10,596x = 23,040 × 23,040
4. Step 4: Simplify right side
   10,596x = 530,841,600
5. Step 5: Solve for x
   x = 530,841,600/10,596
6. Step 6: Final answer
   x = 50,098.30