Finding the Third Proportional to 31,208 and 46,678

Step by Step Solution

1. Step 1: Write the proportion equation
   31,208 : 46,678 = 46,678 : x
2. Step 2: Convert to fraction form
   31,208/46,678 = 46,678/x
3. Step 3: Cross multiply
   31,208x = 46,678 × 46,678
4. Step 4: Simplify right side
   31,208x = 2,178,835,684
5. Step 5: Solve for x
   x = 2,178,835,684/31,208
6. Step 6: Final answer
   x = 69,816.58