Finding the Third Proportional to 5,106 and 13,821

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106 : 13,821 = 13,821 : x
2. Step 2: Convert to fraction form
   5,106/13,821 = 13,821/x
3. Step 3: Cross multiply
   5,106x = 13,821 × 13,821
4. Step 4: Simplify right side
   5,106x = 191,020,041
5. Step 5: Solve for x
   x = 191,020,041/5,106
6. Step 6: Final answer
   x = 37,410.90