Finding the Third Proportional to 32,848 and 67,628

Step by Step Solution

1. Step 1: Write the proportion equation
   32,848 : 67,628 = 67,628 : x
2. Step 2: Convert to fraction form
   32,848/67,628 = 67,628/x
3. Step 3: Cross multiply
   32,848x = 67,628 × 67,628
4. Step 4: Simplify right side
   32,848x = 4,573,546,384
5. Step 5: Solve for x
   x = 4,573,546,384/32,848
6. Step 6: Final answer
   x = 139,233.63