Finding the Third Proportional to 6,314 and 14,938

Step by Step Solution

1. Step 1: Write the proportion equation
   6,314 : 14,938 = 14,938 : x
2. Step 2: Convert to fraction form
   6,314/14,938 = 14,938/x
3. Step 3: Cross multiply
   6,314x = 14,938 × 14,938
4. Step 4: Simplify right side
   6,314x = 223,143,844
5. Step 5: Solve for x
   x = 223,143,844/6,314
6. Step 6: Final answer
   x = 35,341.12