Finding the Third Proportional to 5,092 and 10,646

Step by Step Solution

1. Step 1: Write the proportion equation
   5,092 : 10,646 = 10,646 : x
2. Step 2: Convert to fraction form
   5,092/10,646 = 10,646/x
3. Step 3: Cross multiply
   5,092x = 10,646 × 10,646
4. Step 4: Simplify right side
   5,092x = 113,337,316
5. Step 5: Solve for x
   x = 113,337,316/5,092
6. Step 6: Final answer
   x = 22,257.92