Finding the Third Proportional to 22,847 and 52,886

Step by Step Solution

1. Step 1: Write the proportion equation
   22,847 : 52,886 = 52,886 : x
2. Step 2: Convert to fraction form
   22,847/52,886 = 52,886/x
3. Step 3: Cross multiply
   22,847x = 52,886 × 52,886
4. Step 4: Simplify right side
   22,847x = 2,796,928,996
5. Step 5: Solve for x
   x = 2,796,928,996/22,847
6. Step 6: Final answer
   x = 122,419.97