Finding the Third Proportional to 45,666 and 72,462

Step by Step Solution

1. Step 1: Write the proportion equation
   45,666 : 72,462 = 72,462 : x
2. Step 2: Convert to fraction form
   45,666/72,462 = 72,462/x
3. Step 3: Cross multiply
   45,666x = 72,462 × 72,462
4. Step 4: Simplify right side
   45,666x = 5,250,741,444
5. Step 5: Solve for x
   x = 5,250,741,444/45,666
6. Step 6: Final answer
   x = 114,981.42