Finding the Third Proportional to 32,034 and 65,652

Step by Step Solution

1. Step 1: Write the proportion equation
   32,034 : 65,652 = 65,652 : x
2. Step 2: Convert to fraction form
   32,034/65,652 = 65,652/x
3. Step 3: Cross multiply
   32,034x = 65,652 × 65,652
4. Step 4: Simplify right side
   32,034x = 4,310,185,104
5. Step 5: Solve for x
   x = 4,310,185,104/32,034
6. Step 6: Final answer
   x = 134,550.32