Finding the Third Proportional to 21,886 and 52,766

Step by Step Solution

1. Step 1: Write the proportion equation
   21,886 : 52,766 = 52,766 : x
2. Step 2: Convert to fraction form
   21,886/52,766 = 52,766/x
3. Step 3: Cross multiply
   21,886x = 52,766 × 52,766
4. Step 4: Simplify right side
   21,886x = 2,784,250,756
5. Step 5: Solve for x
   x = 2,784,250,756/21,886
6. Step 6: Final answer
   x = 127,216.06