Finding the Third Proportional to 5,200 and 12,092

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200 : 12,092 = 12,092 : x
2. Step 2: Convert to fraction form
   5,200/12,092 = 12,092/x
3. Step 3: Cross multiply
   5,200x = 12,092 × 12,092
4. Step 4: Simplify right side
   5,200x = 146,216,464
5. Step 5: Solve for x
   x = 146,216,464/5,200
6. Step 6: Final answer
   x = 28,118.55