Finding the Third Proportional to 10,974 and 23,613.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974 : 23,613.38 = 23,613.38 : x
2. Step 2: Convert to fraction form
   10,974/23,613.38 = 23,613.38/x
3. Step 3: Cross multiply
   10,974x = 23,613.38 × 23,613.38
4. Step 4: Simplify right side
   10,974x = 557,591,478.89
5. Step 5: Solve for x
   x = 557,591,478.89/10,974
6. Step 6: Final answer
   x = 50,810.23