Finding the Third Proportional to 3,818.50 and 8,402.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,818.50 : 8,402.75 = 8,402.75 : x
2. Step 2: Convert to fraction form
   3,818.50/8,402.75 = 8,402.75/x
3. Step 3: Cross multiply
   3,818.50x = 8,402.75 × 8,402.75
4. Step 4: Simplify right side
   3,818.50x = 70,606,207.56
5. Step 5: Solve for x
   x = 70,606,207.56/3,818.50
6. Step 6: Final answer
   x = 18,490.56