Finding the Third Proportional to 35,596 and 72,212

Step by Step Solution

1. Step 1: Write the proportion equation
   35,596 : 72,212 = 72,212 : x
2. Step 2: Convert to fraction form
   35,596/72,212 = 72,212/x
3. Step 3: Cross multiply
   35,596x = 72,212 × 72,212
4. Step 4: Simplify right side
   35,596x = 5,214,572,944
5. Step 5: Solve for x
   x = 5,214,572,944/35,596
6. Step 6: Final answer
   x = 146,493.23