Finding the Third Proportional to 32,182 and 67,305

Step by Step Solution

1. Step 1: Write the proportion equation
   32,182 : 67,305 = 67,305 : x
2. Step 2: Convert to fraction form
   32,182/67,305 = 67,305/x
3. Step 3: Cross multiply
   32,182x = 67,305 × 67,305
4. Step 4: Simplify right side
   32,182x = 4,529,963,025
5. Step 5: Solve for x
   x = 4,529,963,025/32,182
6. Step 6: Final answer
   x = 140,760.77