Finding the Third Proportional to 3,854.25 and 8,402.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854.25 : 8,402.06 = 8,402.06 : x
2. Step 2: Convert to fraction form
   3,854.25/8,402.06 = 8,402.06/x
3. Step 3: Cross multiply
   3,854.25x = 8,402.06 × 8,402.06
4. Step 4: Simplify right side
   3,854.25x = 70,594,654.25
5. Step 5: Solve for x
   x = 70,594,654.25/3,854.25
6. Step 6: Final answer
   x = 18,316.05