Finding the Third Proportional to 33,673.50 and 52,823.81

Step by Step Solution

1. Step 1: Write the proportion equation
   33,673.50 : 52,823.81 = 52,823.81 : x
2. Step 2: Convert to fraction form
   33,673.50/52,823.81 = 52,823.81/x
3. Step 3: Cross multiply
   33,673.50x = 52,823.81 × 52,823.81
4. Step 4: Simplify right side
   33,673.50x = 2,790,355,167.04
5. Step 5: Solve for x
   x = 2,790,355,167.04/33,673.50
6. Step 6: Final answer
   x = 82,865.02