Finding the Third Proportional to 32,301 and 72,162

Step by Step Solution

1. Step 1: Write the proportion equation
   32,301 : 72,162 = 72,162 : x
2. Step 2: Convert to fraction form
   32,301/72,162 = 72,162/x
3. Step 3: Cross multiply
   32,301x = 72,162 × 72,162
4. Step 4: Simplify right side
   32,301x = 5,207,354,244
5. Step 5: Solve for x
   x = 5,207,354,244/32,301
6. Step 6: Final answer
   x = 161,213.41