Finding the Third Proportional to 21,838 and 51,334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,838 : 51,334.50 = 51,334.50 : x
2. Step 2: Convert to fraction form
   21,838/51,334.50 = 51,334.50/x
3. Step 3: Cross multiply
   21,838x = 51,334.50 × 51,334.50
4. Step 4: Simplify right side
   21,838x = 2,635,230,890.25
5. Step 5: Solve for x
   x = 2,635,230,890.25/21,838
6. Step 6: Final answer
   x = 120,671.81