Finding the Third Proportional to 38,353.50 and 82,260.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,353.50 : 82,260.56 = 82,260.56 : x
2. Step 2: Convert to fraction form
   38,353.50/82,260.56 = 82,260.56/x
3. Step 3: Cross multiply
   38,353.50x = 82,260.56 × 82,260.56
4. Step 4: Simplify right side
   38,353.50x = 6,766,800,142.82
5. Step 5: Solve for x
   x = 6,766,800,142.82/38,353.50
6. Step 6: Final answer
   x = 176,432.40