Finding the Third Proportional to 38,245.50 and 82,571.91

Step by Step Solution

1. Step 1: Write the proportion equation
   38,245.50 : 82,571.91 = 82,571.91 : x
2. Step 2: Convert to fraction form
   38,245.50/82,571.91 = 82,571.91/x
3. Step 3: Cross multiply
   38,245.50x = 82,571.91 × 82,571.91
4. Step 4: Simplify right side
   38,245.50x = 6,818,119,701.76
5. Step 5: Solve for x
   x = 6,818,119,701.76/38,245.50
6. Step 6: Final answer
   x = 178,272.47