Finding the Third Proportional to 10,500 and 16,389

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 16,389 = 16,389 : x
2. Step 2: Convert to fraction form
   10,500/16,389 = 16,389/x
3. Step 3: Cross multiply
   10,500x = 16,389 × 16,389
4. Step 4: Simplify right side
   10,500x = 268,599,321
5. Step 5: Solve for x
   x = 268,599,321/10,500
6. Step 6: Final answer
   x = 25,580.89