Finding the Third Proportional to 3,971.91 and 8,471.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,971.91 : 8,471.53 = 8,471.53 : x
2. Step 2: Convert to fraction form
   3,971.91/8,471.53 = 8,471.53/x
3. Step 3: Cross multiply
   3,971.91x = 8,471.53 × 8,471.53
4. Step 4: Simplify right side
   3,971.91x = 71,766,841.72
5. Step 5: Solve for x
   x = 71,766,841.72/3,971.91
6. Step 6: Final answer
   x = 18,068.61