Finding the Third Proportional to 5,111 and 10,437

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111 : 10,437 = 10,437 : x
2. Step 2: Convert to fraction form
   5,111/10,437 = 10,437/x
3. Step 3: Cross multiply
   5,111x = 10,437 × 10,437
4. Step 4: Simplify right side
   5,111x = 108,930,969
5. Step 5: Solve for x
   x = 108,930,969/5,111
6. Step 6: Final answer
   x = 21,313.04