Finding the Third Proportional to 31,902 and 70,212

Step by Step Solution

1. Step 1: Write the proportion equation
   31,902 : 70,212 = 70,212 : x
2. Step 2: Convert to fraction form
   31,902/70,212 = 70,212/x
3. Step 3: Cross multiply
   31,902x = 70,212 × 70,212
4. Step 4: Simplify right side
   31,902x = 4,929,724,944
5. Step 5: Solve for x
   x = 4,929,724,944/31,902
6. Step 6: Final answer
   x = 154,527.14