Finding the Third Proportional to 3,729.38 and 7,971.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,729.38 : 7,971.47 = 7,971.47 : x
2. Step 2: Convert to fraction form
   3,729.38/7,971.47 = 7,971.47/x
3. Step 3: Cross multiply
   3,729.38x = 7,971.47 × 7,971.47
4. Step 4: Simplify right side
   3,729.38x = 63,544,314.03
5. Step 5: Solve for x
   x = 63,544,314.03/3,729.38
6. Step 6: Final answer
   x = 17,038.86