Finding the Third Proportional to 653.50 and 1,402

Step by Step Solution

1. Step 1: Write the proportion equation
   653.50 : 1,402 = 1,402 : x
2. Step 2: Convert to fraction form
   653.50/1,402 = 1,402/x
3. Step 3: Cross multiply
   653.50x = 1,402 × 1,402
4. Step 4: Simplify right side
   653.50x = 1,965,604
5. Step 5: Solve for x
   x = 1,965,604/653.50
6. Step 6: Final answer
   x = 3,007.81