Finding the Third Proportional to 32,826 and 46,452

Step by Step Solution

1. Step 1: Write the proportion equation
   32,826 : 46,452 = 46,452 : x
2. Step 2: Convert to fraction form
   32,826/46,452 = 46,452/x
3. Step 3: Cross multiply
   32,826x = 46,452 × 46,452
4. Step 4: Simplify right side
   32,826x = 2,157,788,304
5. Step 5: Solve for x
   x = 2,157,788,304/32,826
6. Step 6: Final answer
   x = 65,734.12