Finding the Third Proportional to 33,105 and 46,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,105 : 46,552.50 = 46,552.50 : x
2. Step 2: Convert to fraction form
   33,105/46,552.50 = 46,552.50/x
3. Step 3: Cross multiply
   33,105x = 46,552.50 × 46,552.50
4. Step 4: Simplify right side
   33,105x = 2,167,135,256.25
5. Step 5: Solve for x
   x = 2,167,135,256.25/33,105
6. Step 6: Final answer
   x = 65,462.48