Finding the Third Proportional to 2,803.50 and 3,809.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,803.50 : 3,809.25 = 3,809.25 : x
2. Step 2: Convert to fraction form
   2,803.50/3,809.25 = 3,809.25/x
3. Step 3: Cross multiply
   2,803.50x = 3,809.25 × 3,809.25
4. Step 4: Simplify right side
   2,803.50x = 14,510,385.56
5. Step 5: Solve for x
   x = 14,510,385.56/2,803.50
6. Step 6: Final answer
   x = 5,175.81