Finding the Third Proportional to 37,920.50 and 82,753

Step by Step Solution

1. Step 1: Write the proportion equation
   37,920.50 : 82,753 = 82,753 : x
2. Step 2: Convert to fraction form
   37,920.50/82,753 = 82,753/x
3. Step 3: Cross multiply
   37,920.50x = 82,753 × 82,753
4. Step 4: Simplify right side
   37,920.50x = 6,848,059,009
5. Step 5: Solve for x
   x = 6,848,059,009/37,920.50
6. Step 6: Final answer
   x = 180,589.89