Finding the Third Proportional to 38,354.25 and 82,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,354.25 : 82,039.50 = 82,039.50 : x
2. Step 2: Convert to fraction form
   38,354.25/82,039.50 = 82,039.50/x
3. Step 3: Cross multiply
   38,354.25x = 82,039.50 × 82,039.50
4. Step 4: Simplify right side
   38,354.25x = 6,730,479,560.25
5. Step 5: Solve for x
   x = 6,730,479,560.25/38,354.25
6. Step 6: Final answer
   x = 175,481.98