Finding the Third Proportional to 21,874 and 47,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,874 : 47,757.50 = 47,757.50 : x
2. Step 2: Convert to fraction form
   21,874/47,757.50 = 47,757.50/x
3. Step 3: Cross multiply
   21,874x = 47,757.50 × 47,757.50
4. Step 4: Simplify right side
   21,874x = 2,280,778,806.25
5. Step 5: Solve for x
   x = 2,280,778,806.25/21,874
6. Step 6: Final answer
   x = 104,268.94