Finding the Third Proportional to 31,909 and 45,673

Step by Step Solution

1. Step 1: Write the proportion equation
   31,909 : 45,673 = 45,673 : x
2. Step 2: Convert to fraction form
   31,909/45,673 = 45,673/x
3. Step 3: Cross multiply
   31,909x = 45,673 × 45,673
4. Step 4: Simplify right side
   31,909x = 2,086,022,929
5. Step 5: Solve for x
   x = 2,086,022,929/31,909
6. Step 6: Final answer
   x = 65,374.12