Finding the Third Proportional to 40,464 and 82,932

Step by Step Solution

1. Step 1: Write the proportion equation
   40,464 : 82,932 = 82,932 : x
2. Step 2: Convert to fraction form
   40,464/82,932 = 82,932/x
3. Step 3: Cross multiply
   40,464x = 82,932 × 82,932
4. Step 4: Simplify right side
   40,464x = 6,877,716,624
5. Step 5: Solve for x
   x = 6,877,716,624/40,464
6. Step 6: Final answer
   x = 169,971.25