Finding the Third Proportional to 32,823 and 72,006

Step by Step Solution

1. Step 1: Write the proportion equation
   32,823 : 72,006 = 72,006 : x
2. Step 2: Convert to fraction form
   32,823/72,006 = 72,006/x
3. Step 3: Cross multiply
   32,823x = 72,006 × 72,006
4. Step 4: Simplify right side
   32,823x = 5,184,864,036
5. Step 5: Solve for x
   x = 5,184,864,036/32,823
6. Step 6: Final answer
   x = 157,964.36