Finding the Third Proportional to 23,680 and 50,942

Step by Step Solution

1. Step 1: Write the proportion equation
   23,680 : 50,942 = 50,942 : x
2. Step 2: Convert to fraction form
   23,680/50,942 = 50,942/x
3. Step 3: Cross multiply
   23,680x = 50,942 × 50,942
4. Step 4: Simplify right side
   23,680x = 2,595,087,364
5. Step 5: Solve for x
   x = 2,595,087,364/23,680
6. Step 6: Final answer
   x = 109,589.84