Finding the Third Proportional to 32,822 and 72,003

Step by Step Solution

1. Step 1: Write the proportion equation
   32,822 : 72,003 = 72,003 : x
2. Step 2: Convert to fraction form
   32,822/72,003 = 72,003/x
3. Step 3: Cross multiply
   32,822x = 72,003 × 72,003
4. Step 4: Simplify right side
   32,822x = 5,184,432,009
5. Step 5: Solve for x
   x = 5,184,432,009/32,822
6. Step 6: Final answer
   x = 157,956.01