Finding the Third Proportional to 7,882.75 and 16,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,882.75 : 16,818.50 = 16,818.50 : x
2. Step 2: Convert to fraction form
   7,882.75/16,818.50 = 16,818.50/x
3. Step 3: Cross multiply
   7,882.75x = 16,818.50 × 16,818.50
4. Step 4: Simplify right side
   7,882.75x = 282,861,942.25
5. Step 5: Solve for x
   x = 282,861,942.25/7,882.75
6. Step 6: Final answer
   x = 35,883.66