Finding the Third Proportional to 5,238 and 10,730

Step by Step Solution

1. Step 1: Write the proportion equation
   5,238 : 10,730 = 10,730 : x
2. Step 2: Convert to fraction form
   5,238/10,730 = 10,730/x
3. Step 3: Cross multiply
   5,238x = 10,730 × 10,730
4. Step 4: Simplify right side
   5,238x = 115,132,900
5. Step 5: Solve for x
   x = 115,132,900/5,238
6. Step 6: Final answer
   x = 21,980.32