Finding the Third Proportional to 653.25 and 1,401.56

Step by Step Solution

1. Step 1: Write the proportion equation
   653.25 : 1,401.56 = 1,401.56 : x
2. Step 2: Convert to fraction form
   653.25/1,401.56 = 1,401.56/x
3. Step 3: Cross multiply
   653.25x = 1,401.56 × 1,401.56
4. Step 4: Simplify right side
   653.25x = 1,964,377.44
5. Step 5: Solve for x
   x = 1,964,377.44/653.25
6. Step 6: Final answer
   x = 3,007.08