Finding the Third Proportional to 1,503 and 2,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,503 : 2,302.50 = 2,302.50 : x
2. Step 2: Convert to fraction form
   1,503/2,302.50 = 2,302.50/x
3. Step 3: Cross multiply
   1,503x = 2,302.50 × 2,302.50
4. Step 4: Simplify right side
   1,503x = 5,301,506.25
5. Step 5: Solve for x
   x = 5,301,506.25/1,503
6. Step 6: Final answer
   x = 3,527.28