Finding the Third Proportional to 38,241.50 and 82,018.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,241.50 : 82,018.63 = 82,018.63 : x
2. Step 2: Convert to fraction form
   38,241.50/82,018.63 = 82,018.63/x
3. Step 3: Cross multiply
   38,241.50x = 82,018.63 × 82,018.63
4. Step 4: Simplify right side
   38,241.50x = 6,727,054,846.89
5. Step 5: Solve for x
   x = 6,727,054,846.89/38,241.50
6. Step 6: Final answer
   x = 175,909.81