Finding the Third Proportional to 10,389 and 16,464

Step by Step Solution

1. Step 1: Write the proportion equation
   10,389 : 16,464 = 16,464 : x
2. Step 2: Convert to fraction form
   10,389/16,464 = 16,464/x
3. Step 3: Cross multiply
   10,389x = 16,464 × 16,464
4. Step 4: Simplify right side
   10,389x = 271,063,296
5. Step 5: Solve for x
   x = 271,063,296/10,389
6. Step 6: Final answer
   x = 26,091.38