Finding the Third Proportional to 10,092 and 18,916

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 18,916 = 18,916 : x
2. Step 2: Convert to fraction form
   10,092/18,916 = 18,916/x
3. Step 3: Cross multiply
   10,092x = 18,916 × 18,916
4. Step 4: Simplify right side
   10,092x = 357,815,056
5. Step 5: Solve for x
   x = 357,815,056/10,092
6. Step 6: Final answer
   x = 35,455.32