Finding the Third Proportional to 23,040 and 49,344

Step by Step Solution

1. Step 1: Write the proportion equation
   23,040 : 49,344 = 49,344 : x
2. Step 2: Convert to fraction form
   23,040/49,344 = 49,344/x
3. Step 3: Cross multiply
   23,040x = 49,344 × 49,344
4. Step 4: Simplify right side
   23,040x = 2,434,830,336
5. Step 5: Solve for x
   x = 2,434,830,336/23,040
6. Step 6: Final answer
   x = 105,678.40