Finding the Third Proportional to 46,656 and 63,072

Step by Step Solution

1. Step 1: Write the proportion equation
   46,656 : 63,072 = 63,072 : x
2. Step 2: Convert to fraction form
   46,656/63,072 = 63,072/x
3. Step 3: Cross multiply
   46,656x = 63,072 × 63,072
4. Step 4: Simplify right side
   46,656x = 3,978,077,184
5. Step 5: Solve for x
   x = 3,978,077,184/46,656
6. Step 6: Final answer
   x = 85,264