Finding the Third Proportional to 3,817.50 and 5,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,817.50 : 5,738.25 = 5,738.25 : x
2. Step 2: Convert to fraction form
   3,817.50/5,738.25 = 5,738.25/x
3. Step 3: Cross multiply
   3,817.50x = 5,738.25 × 5,738.25
4. Step 4: Simplify right side
   3,817.50x = 32,927,513.06
5. Step 5: Solve for x
   x = 32,927,513.06/3,817.50
6. Step 6: Final answer
   x = 8,625.41