Finding the Third Proportional to 33,782 and 52,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,782 : 52,993.50 = 52,993.50 : x
2. Step 2: Convert to fraction form
   33,782/52,993.50 = 52,993.50/x
3. Step 3: Cross multiply
   33,782x = 52,993.50 × 52,993.50
4. Step 4: Simplify right side
   33,782x = 2,808,311,042.25
5. Step 5: Solve for x
   x = 2,808,311,042.25/33,782
6. Step 6: Final answer
   x = 83,130.40