Finding the Third Proportional to 3,769.50 and 5,741.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,769.50 : 5,741.25 = 5,741.25 : x
2. Step 2: Convert to fraction form
   3,769.50/5,741.25 = 5,741.25/x
3. Step 3: Cross multiply
   3,769.50x = 5,741.25 × 5,741.25
4. Step 4: Simplify right side
   3,769.50x = 32,961,951.56
5. Step 5: Solve for x
   x = 32,961,951.56/3,769.50
6. Step 6: Final answer
   x = 8,744.38