Finding the Third Proportional to 3,298.50 and 7,882.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,298.50 : 7,882.88 = 7,882.88 : x
2. Step 2: Convert to fraction form
   3,298.50/7,882.88 = 7,882.88/x
3. Step 3: Cross multiply
   3,298.50x = 7,882.88 × 7,882.88
4. Step 4: Simplify right side
   3,298.50x = 62,139,718.27
5. Step 5: Solve for x
   x = 62,139,718.27/3,298.50
6. Step 6: Final answer
   x = 18,838.78