Finding the Third Proportional to 40,747.75 and 84,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,747.75 : 84,033.50 = 84,033.50 : x
2. Step 2: Convert to fraction form
   40,747.75/84,033.50 = 84,033.50/x
3. Step 3: Cross multiply
   40,747.75x = 84,033.50 × 84,033.50
4. Step 4: Simplify right side
   40,747.75x = 7,061,629,122.25
5. Step 5: Solve for x
   x = 7,061,629,122.25/40,747.75
6. Step 6: Final answer
   x = 173,301.08