Finding the Third Proportional to 32,354 and 71,212

Step by Step Solution

1. Step 1: Write the proportion equation
   32,354 : 71,212 = 71,212 : x
2. Step 2: Convert to fraction form
   32,354/71,212 = 71,212/x
3. Step 3: Cross multiply
   32,354x = 71,212 × 71,212
4. Step 4: Simplify right side
   32,354x = 5,071,148,944
5. Step 5: Solve for x
   x = 5,071,148,944/32,354
6. Step 6: Final answer
   x = 156,739.47