Finding the Third Proportional to 46,656 and 62,856

Step by Step Solution

1. Step 1: Write the proportion equation
   46,656 : 62,856 = 62,856 : x
2. Step 2: Convert to fraction form
   46,656/62,856 = 62,856/x
3. Step 3: Cross multiply
   46,656x = 62,856 × 62,856
4. Step 4: Simplify right side
   46,656x = 3,950,876,736
5. Step 5: Solve for x
   x = 3,950,876,736/46,656
6. Step 6: Final answer
   x = 84,681