Finding the Third Proportional to 15,746 and 32,824

Step by Step Solution

1. Step 1: Write the proportion equation
   15,746 : 32,824 = 32,824 : x
2. Step 2: Convert to fraction form
   15,746/32,824 = 32,824/x
3. Step 3: Cross multiply
   15,746x = 32,824 × 32,824
4. Step 4: Simplify right side
   15,746x = 1,077,414,976
5. Step 5: Solve for x
   x = 1,077,414,976/15,746
6. Step 6: Final answer
   x = 68,424.68