Finding the Third Proportional to 23,040 and 29,760

Step by Step Solution

1. Step 1: Write the proportion equation
   23,040 : 29,760 = 29,760 : x
2. Step 2: Convert to fraction form
   23,040/29,760 = 29,760/x
3. Step 3: Cross multiply
   23,040x = 29,760 × 29,760
4. Step 4: Simplify right side
   23,040x = 885,657,600
5. Step 5: Solve for x
   x = 885,657,600/23,040
6. Step 6: Final answer
   x = 38,440