Finding the Third Proportional to 10,039 and 13,416

Step by Step Solution

1. Step 1: Write the proportion equation
   10,039 : 13,416 = 13,416 : x
2. Step 2: Convert to fraction form
   10,039/13,416 = 13,416/x
3. Step 3: Cross multiply
   10,039x = 13,416 × 13,416
4. Step 4: Simplify right side
   10,039x = 179,989,056
5. Step 5: Solve for x
   x = 179,989,056/10,039
6. Step 6: Final answer
   x = 17,928.98