Finding the Third Proportional to 21,826 and 47,900

Step by Step Solution

1. Step 1: Write the proportion equation
   21,826 : 47,900 = 47,900 : x
2. Step 2: Convert to fraction form
   21,826/47,900 = 47,900/x
3. Step 3: Cross multiply
   21,826x = 47,900 × 47,900
4. Step 4: Simplify right side
   21,826x = 2,294,410,000
5. Step 5: Solve for x
   x = 2,294,410,000/21,826
6. Step 6: Final answer
   x = 105,122.79