Finding the Third Proportional to 647 and 1,501.25

Step by Step Solution

1. Step 1: Write the proportion equation
   647 : 1,501.25 = 1,501.25 : x
2. Step 2: Convert to fraction form
   647/1,501.25 = 1,501.25/x
3. Step 3: Cross multiply
   647x = 1,501.25 × 1,501.25
4. Step 4: Simplify right side
   647x = 2,253,751.56
5. Step 5: Solve for x
   x = 2,253,751.56/647
6. Step 6: Final answer
   x = 3,483.39