Finding the Third Proportional to 46,656 and 71,712

Step by Step Solution

1. Step 1: Write the proportion equation
   46,656 : 71,712 = 71,712 : x
2. Step 2: Convert to fraction form
   46,656/71,712 = 71,712/x
3. Step 3: Cross multiply
   46,656x = 71,712 × 71,712
4. Step 4: Simplify right side
   46,656x = 5,142,610,944
5. Step 5: Solve for x
   x = 5,142,610,944/46,656
6. Step 6: Final answer
   x = 110,224