Finding the Third Proportional to 46,656 and 72,288

Step by Step Solution

1. Step 1: Write the proportion equation
   46,656 : 72,288 = 72,288 : x
2. Step 2: Convert to fraction form
   46,656/72,288 = 72,288/x
3. Step 3: Cross multiply
   46,656x = 72,288 × 72,288
4. Step 4: Simplify right side
   46,656x = 5,225,554,944
5. Step 5: Solve for x
   x = 5,225,554,944/46,656
6. Step 6: Final answer
   x = 112,001.78