Finding the Third Proportional to 9,486 and 13,878

Step by Step Solution

1. Step 1: Write the proportion equation
   9,486 : 13,878 = 13,878 : x
2. Step 2: Convert to fraction form
   9,486/13,878 = 13,878/x
3. Step 3: Cross multiply
   9,486x = 13,878 × 13,878
4. Step 4: Simplify right side
   9,486x = 192,598,884
5. Step 5: Solve for x
   x = 192,598,884/9,486
6. Step 6: Final answer
   x = 20,303.49