Finding the Third Proportional to 2,854.50 and 7,037.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,854.50 : 7,037.25 = 7,037.25 : x
2. Step 2: Convert to fraction form
   2,854.50/7,037.25 = 7,037.25/x
3. Step 3: Cross multiply
   2,854.50x = 7,037.25 × 7,037.25
4. Step 4: Simplify right side
   2,854.50x = 49,522,887.56
5. Step 5: Solve for x
   x = 49,522,887.56/2,854.50
6. Step 6: Final answer
   x = 17,349.06