Finding the Third Proportional to 10,092 and 13,650

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 13,650 = 13,650 : x
2. Step 2: Convert to fraction form
   10,092/13,650 = 13,650/x
3. Step 3: Cross multiply
   10,092x = 13,650 × 13,650
4. Step 4: Simplify right side
   10,092x = 186,322,500
5. Step 5: Solve for x
   x = 186,322,500/10,092
6. Step 6: Final answer
   x = 18,462.40