Finding the Third Proportional to 21,856 and 32,640

Step by Step Solution

1. Step 1: Write the proportion equation
   21,856 : 32,640 = 32,640 : x
2. Step 2: Convert to fraction form
   21,856/32,640 = 32,640/x
3. Step 3: Cross multiply
   21,856x = 32,640 × 32,640
4. Step 4: Simplify right side
   21,856x = 1,065,369,600
5. Step 5: Solve for x
   x = 1,065,369,600/21,856
6. Step 6: Final answer
   x = 48,744.95