Finding the Third Proportional to 3,971.53 and 8,470.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,971.53 : 8,470.41 = 8,470.41 : x
2. Step 2: Convert to fraction form
   3,971.53/8,470.41 = 8,470.41/x
3. Step 3: Cross multiply
   3,971.53x = 8,470.41 × 8,470.41
4. Step 4: Simplify right side
   3,971.53x = 71,747,782.04
5. Step 5: Solve for x
   x = 71,747,782.04/3,971.53
6. Step 6: Final answer
   x = 18,065.52