Finding the Third Proportional to 31,208 and 47,148

Step by Step Solution

1. Step 1: Write the proportion equation
   31,208 : 47,148 = 47,148 : x
2. Step 2: Convert to fraction form
   31,208/47,148 = 47,148/x
3. Step 3: Cross multiply
   31,208x = 47,148 × 47,148
4. Step 4: Simplify right side
   31,208x = 2,222,933,904
5. Step 5: Solve for x
   x = 2,222,933,904/31,208
6. Step 6: Final answer
   x = 71,229.62