Finding the Third Proportional to 31,208 and 71,684

Step by Step Solution

1. Step 1: Write the proportion equation
   31,208 : 71,684 = 71,684 : x
2. Step 2: Convert to fraction form
   31,208/71,684 = 71,684/x
3. Step 3: Cross multiply
   31,208x = 71,684 × 71,684
4. Step 4: Simplify right side
   31,208x = 5,138,595,856
5. Step 5: Solve for x
   x = 5,138,595,856/31,208
6. Step 6: Final answer
   x = 164,656.37