Finding the Third Proportional to 21,406 and 32,028

Step by Step Solution

1. Step 1: Write the proportion equation
   21,406 : 32,028 = 32,028 : x
2. Step 2: Convert to fraction form
   21,406/32,028 = 32,028/x
3. Step 3: Cross multiply
   21,406x = 32,028 × 32,028
4. Step 4: Simplify right side
   21,406x = 1,025,792,784
5. Step 5: Solve for x
   x = 1,025,792,784/21,406
6. Step 6: Final answer
   x = 47,920.81