Finding the Third Proportional to 31,212 and 46,684

Step by Step Solution

1. Step 1: Write the proportion equation
   31,212 : 46,684 = 46,684 : x
2. Step 2: Convert to fraction form
   31,212/46,684 = 46,684/x
3. Step 3: Cross multiply
   31,212x = 46,684 × 46,684
4. Step 4: Simplify right side
   31,212x = 2,179,395,856
5. Step 5: Solve for x
   x = 2,179,395,856/31,212
6. Step 6: Final answer
   x = 69,825.58