Finding the Third Proportional to 32,724 and 72,009

Step by Step Solution

1. Step 1: Write the proportion equation
   32,724 : 72,009 = 72,009 : x
2. Step 2: Convert to fraction form
   32,724/72,009 = 72,009/x
3. Step 3: Cross multiply
   32,724x = 72,009 × 72,009
4. Step 4: Simplify right side
   32,724x = 5,185,296,081
5. Step 5: Solve for x
   x = 5,185,296,081/32,724
6. Step 6: Final answer
   x = 158,455.45