Finding the Third Proportional to 32,001 and 67,692

Step by Step Solution

1. Step 1: Write the proportion equation
   32,001 : 67,692 = 67,692 : x
2. Step 2: Convert to fraction form
   32,001/67,692 = 67,692/x
3. Step 3: Cross multiply
   32,001x = 67,692 × 67,692
4. Step 4: Simplify right side
   32,001x = 4,582,206,864
5. Step 5: Solve for x
   x = 4,582,206,864/32,001
6. Step 6: Final answer
   x = 143,189.49