Finding the Third Proportional to 704.50 and 1,507

Step by Step Solution

1. Step 1: Write the proportion equation
   704.50 : 1,507 = 1,507 : x
2. Step 2: Convert to fraction form
   704.50/1,507 = 1,507/x
3. Step 3: Cross multiply
   704.50x = 1,507 × 1,507
4. Step 4: Simplify right side
   704.50x = 2,271,049
5. Step 5: Solve for x
   x = 2,271,049/704.50
6. Step 6: Final answer
   x = 3,223.63