Finding the Third Proportional to 663.47 and 1,404.14

Step by Step Solution

1. Step 1: Write the proportion equation
   663.47 : 1,404.14 = 1,404.14 : x
2. Step 2: Convert to fraction form
   663.47/1,404.14 = 1,404.14/x
3. Step 3: Cross multiply
   663.47x = 1,404.14 × 1,404.14
4. Step 4: Simplify right side
   663.47x = 1,971,610.89
5. Step 5: Solve for x
   x = 1,971,610.89/663.47
6. Step 6: Final answer
   x = 2,971.67