Finding the Third Proportional to 31,456 and 45,886

Step by Step Solution

1. Step 1: Write the proportion equation
   31,456 : 45,886 = 45,886 : x
2. Step 2: Convert to fraction form
   31,456/45,886 = 45,886/x
3. Step 3: Cross multiply
   31,456x = 45,886 × 45,886
4. Step 4: Simplify right side
   31,456x = 2,105,524,996
5. Step 5: Solve for x
   x = 2,105,524,996/31,456
6. Step 6: Final answer
   x = 66,935.56