Finding the Third Proportional to 23,766 and 51,942

Step by Step Solution

1. Step 1: Write the proportion equation
   23,766 : 51,942 = 51,942 : x
2. Step 2: Convert to fraction form
   23,766/51,942 = 51,942/x
3. Step 3: Cross multiply
   23,766x = 51,942 × 51,942
4. Step 4: Simplify right side
   23,766x = 2,697,971,364
5. Step 5: Solve for x
   x = 2,697,971,364/23,766
6. Step 6: Final answer
   x = 113,522.32