Finding the Third Proportional to 1,137.50 and 1,609.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.50 : 1,609.25 = 1,609.25 : x
2. Step 2: Convert to fraction form
   1,137.50/1,609.25 = 1,609.25/x
3. Step 3: Cross multiply
   1,137.50x = 1,609.25 × 1,609.25
4. Step 4: Simplify right side
   1,137.50x = 2,589,685.56
5. Step 5: Solve for x
   x = 2,589,685.56/1,137.50
6. Step 6: Final answer
   x = 2,276.65