Finding the Third Proportional to 653.38 and 1,401.63

Step by Step Solution

1. Step 1: Write the proportion equation
   653.38 : 1,401.63 = 1,401.63 : x
2. Step 2: Convert to fraction form
   653.38/1,401.63 = 1,401.63/x
3. Step 3: Cross multiply
   653.38x = 1,401.63 × 1,401.63
4. Step 4: Simplify right side
   653.38x = 1,964,552.64
5. Step 5: Solve for x
   x = 1,964,552.64/653.38
6. Step 6: Final answer
   x = 3,006.78