Finding the Third Proportional to 31,842 and 69,212

Step by Step Solution

1. Step 1: Write the proportion equation
   31,842 : 69,212 = 69,212 : x
2. Step 2: Convert to fraction form
   31,842/69,212 = 69,212/x
3. Step 3: Cross multiply
   31,842x = 69,212 × 69,212
4. Step 4: Simplify right side
   31,842x = 4,790,300,944
5. Step 5: Solve for x
   x = 4,790,300,944/31,842
6. Step 6: Final answer
   x = 150,439.70