Finding the Third Proportional to 31,227 and 47,886

Step by Step Solution

1. Step 1: Write the proportion equation
   31,227 : 47,886 = 47,886 : x
2. Step 2: Convert to fraction form
   31,227/47,886 = 47,886/x
3. Step 3: Cross multiply
   31,227x = 47,886 × 47,886
4. Step 4: Simplify right side
   31,227x = 2,293,068,996
5. Step 5: Solve for x
   x = 2,293,068,996/31,227
6. Step 6: Final answer
   x = 73,432.25