Finding the Third Proportional to 46,656 and 73,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,656 : 73,885.50 = 73,885.50 : x
2. Step 2: Convert to fraction form
   46,656/73,885.50 = 73,885.50/x
3. Step 3: Cross multiply
   46,656x = 73,885.50 × 73,885.50
4. Step 4: Simplify right side
   46,656x = 5,459,067,110.25
5. Step 5: Solve for x
   x = 5,459,067,110.25/46,656
6. Step 6: Final answer
   x = 117,006.75