Finding the Third Proportional to 23,822 and 51,878

Step by Step Solution

1. Step 1: Write the proportion equation
   23,822 : 51,878 = 51,878 : x
2. Step 2: Convert to fraction form
   23,822/51,878 = 51,878/x
3. Step 3: Cross multiply
   23,822x = 51,878 × 51,878
4. Step 4: Simplify right side
   23,822x = 2,691,326,884
5. Step 5: Solve for x
   x = 2,691,326,884/23,822
6. Step 6: Final answer
   x = 112,976.53