Finding the Third Proportional to 32,282 and 46,496

Step by Step Solution

1. Step 1: Write the proportion equation
   32,282 : 46,496 = 46,496 : x
2. Step 2: Convert to fraction form
   32,282/46,496 = 46,496/x
3. Step 3: Cross multiply
   32,282x = 46,496 × 46,496
4. Step 4: Simplify right side
   32,282x = 2,161,878,016
5. Step 5: Solve for x
   x = 2,161,878,016/32,282
6. Step 6: Final answer
   x = 66,968.53