Finding the Third Proportional to 10,496 and 14,693

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496 : 14,693 = 14,693 : x
2. Step 2: Convert to fraction form
   10,496/14,693 = 14,693/x
3. Step 3: Cross multiply
   10,496x = 14,693 × 14,693
4. Step 4: Simplify right side
   10,496x = 215,884,249
5. Step 5: Solve for x
   x = 215,884,249/10,496
6. Step 6: Final answer
   x = 20,568.24