Finding the Third Proportional to 10,400 and 14,938

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400 : 14,938 = 14,938 : x
2. Step 2: Convert to fraction form
   10,400/14,938 = 14,938/x
3. Step 3: Cross multiply
   10,400x = 14,938 × 14,938
4. Step 4: Simplify right side
   10,400x = 223,143,844
5. Step 5: Solve for x
   x = 223,143,844/10,400
6. Step 6: Final answer
   x = 21,456.14