Finding the Third Proportional to 32,192 and 68,004

Step by Step Solution

1. Step 1: Write the proportion equation
   32,192 : 68,004 = 68,004 : x
2. Step 2: Convert to fraction form
   32,192/68,004 = 68,004/x
3. Step 3: Cross multiply
   32,192x = 68,004 × 68,004
4. Step 4: Simplify right side
   32,192x = 4,624,544,016
5. Step 5: Solve for x
   x = 4,624,544,016/32,192
6. Step 6: Final answer
   x = 143,655.07