Finding the Third Proportional to 6,884 and 10,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,884 : 10,390.50 = 10,390.50 : x
2. Step 2: Convert to fraction form
   6,884/10,390.50 = 10,390.50/x
3. Step 3: Cross multiply
   6,884x = 10,390.50 × 10,390.50
4. Step 4: Simplify right side
   6,884x = 107,962,490.25
5. Step 5: Solve for x
   x = 107,962,490.25/6,884
6. Step 6: Final answer
   x = 15,683.10