Finding the Third Proportional to 5,157 and 10,693.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,157 : 10,693.69 = 10,693.69 : x
2. Step 2: Convert to fraction form
   5,157/10,693.69 = 10,693.69/x
3. Step 3: Cross multiply
   5,157x = 10,693.69 × 10,693.69
4. Step 4: Simplify right side
   5,157x = 114,354,952.35
5. Step 5: Solve for x
   x = 114,354,952.35/5,157
6. Step 6: Final answer
   x = 22,174.70