Finding the Third Proportional to 9,914 and 13,457

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914 : 13,457 = 13,457 : x
2. Step 2: Convert to fraction form
   9,914/13,457 = 13,457/x
3. Step 3: Cross multiply
   9,914x = 13,457 × 13,457
4. Step 4: Simplify right side
   9,914x = 181,090,849
5. Step 5: Solve for x
   x = 181,090,849/9,914
6. Step 6: Final answer
   x = 18,266.17