Finding the Third Proportional to 33,012 and 46,408

Step by Step Solution

1. Step 1: Write the proportion equation
   33,012 : 46,408 = 46,408 : x
2. Step 2: Convert to fraction form
   33,012/46,408 = 46,408/x
3. Step 3: Cross multiply
   33,012x = 46,408 × 46,408
4. Step 4: Simplify right side
   33,012x = 2,153,702,464
5. Step 5: Solve for x
   x = 2,153,702,464/33,012
6. Step 6: Final answer
   x = 65,239.99