Finding the Third Proportional to 5,106 and 10,140

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106 : 10,140 = 10,140 : x
2. Step 2: Convert to fraction form
   5,106/10,140 = 10,140/x
3. Step 3: Cross multiply
   5,106x = 10,140 × 10,140
4. Step 4: Simplify right side
   5,106x = 102,819,600
5. Step 5: Solve for x
   x = 102,819,600/5,106
6. Step 6: Final answer
   x = 20,137.02