Finding the Third Proportional to 32,496 and 67,546

Step by Step Solution

1. Step 1: Write the proportion equation
   32,496 : 67,546 = 67,546 : x
2. Step 2: Convert to fraction form
   32,496/67,546 = 67,546/x
3. Step 3: Cross multiply
   32,496x = 67,546 × 67,546
4. Step 4: Simplify right side
   32,496x = 4,562,462,116
5. Step 5: Solve for x
   x = 4,562,462,116/32,496
6. Step 6: Final answer
   x = 140,400.73