Finding the Third Proportional to 32,786 and 50,462

Step by Step Solution

1. Step 1: Write the proportion equation
   32,786 : 50,462 = 50,462 : x
2. Step 2: Convert to fraction form
   32,786/50,462 = 50,462/x
3. Step 3: Cross multiply
   32,786x = 50,462 × 50,462
4. Step 4: Simplify right side
   32,786x = 2,546,413,444
5. Step 5: Solve for x
   x = 2,546,413,444/32,786
6. Step 6: Final answer
   x = 77,667.71