Finding the Third Proportional to 11,092 and 26,096

Step by Step Solution

1. Step 1: Write the proportion equation
   11,092 : 26,096 = 26,096 : x
2. Step 2: Convert to fraction form
   11,092/26,096 = 26,096/x
3. Step 3: Cross multiply
   11,092x = 26,096 × 26,096
4. Step 4: Simplify right side
   11,092x = 681,001,216
5. Step 5: Solve for x
   x = 681,001,216/11,092
6. Step 6: Final answer
   x = 61,395.71