Finding the Third Proportional to 45,914 and 72,831

Step by Step Solution

1. Step 1: Write the proportion equation
   45,914 : 72,831 = 72,831 : x
2. Step 2: Convert to fraction form
   45,914/72,831 = 72,831/x
3. Step 3: Cross multiply
   45,914x = 72,831 × 72,831
4. Step 4: Simplify right side
   45,914x = 5,304,354,561
5. Step 5: Solve for x
   x = 5,304,354,561/45,914
6. Step 6: Final answer
   x = 115,528.04