Finding the Third Proportional to 6,871.50 and 10,290.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,871.50 : 10,290.38 = 10,290.38 : x
2. Step 2: Convert to fraction form
   6,871.50/10,290.38 = 10,290.38/x
3. Step 3: Cross multiply
   6,871.50x = 10,290.38 × 10,290.38
4. Step 4: Simplify right side
   6,871.50x = 105,891,817.64
5. Step 5: Solve for x
   x = 105,891,817.64/6,871.50
6. Step 6: Final answer
   x = 15,410.29