Finding the Third Proportional to 32,344 and 43,462

Step by Step Solution

1. Step 1: Write the proportion equation
   32,344 : 43,462 = 43,462 : x
2. Step 2: Convert to fraction form
   32,344/43,462 = 43,462/x
3. Step 3: Cross multiply
   32,344x = 43,462 × 43,462
4. Step 4: Simplify right side
   32,344x = 1,888,945,444
5. Step 5: Solve for x
   x = 1,888,945,444/32,344
6. Step 6: Final answer
   x = 58,401.73