Finding the Third Proportional to 39,662.16 and 82,582.03

Step by Step Solution

1. Step 1: Write the proportion equation
   39,662.16 : 82,582.03 = 82,582.03 : x
2. Step 2: Convert to fraction form
   39,662.16/82,582.03 = 82,582.03/x
3. Step 3: Cross multiply
   39,662.16x = 82,582.03 × 82,582.03
4. Step 4: Simplify right side
   39,662.16x = 6,819,791,885.38
5. Step 5: Solve for x
   x = 6,819,791,885.38/39,662.16
6. Step 6: Final answer
   x = 171,947.08