Finding the Third Proportional to 10,309 and 14,563

Step by Step Solution

1. Step 1: Write the proportion equation
   10,309 : 14,563 = 14,563 : x
2. Step 2: Convert to fraction form
   10,309/14,563 = 14,563/x
3. Step 3: Cross multiply
   10,309x = 14,563 × 14,563
4. Step 4: Simplify right side
   10,309x = 212,080,969
5. Step 5: Solve for x
   x = 212,080,969/10,309
6. Step 6: Final answer
   x = 20,572.41