Finding the Third Proportional to 38,996 and 82,644

Step by Step Solution

1. Step 1: Write the proportion equation
   38,996 : 82,644 = 82,644 : x
2. Step 2: Convert to fraction form
   38,996/82,644 = 82,644/x
3. Step 3: Cross multiply
   38,996x = 82,644 × 82,644
4. Step 4: Simplify right side
   38,996x = 6,830,030,736
5. Step 5: Solve for x
   x = 6,830,030,736/38,996
6. Step 6: Final answer
   x = 175,146.96