Finding the Third Proportional to 37,921.50 and 82,845

Step by Step Solution

1. Step 1: Write the proportion equation
   37,921.50 : 82,845 = 82,845 : x
2. Step 2: Convert to fraction form
   37,921.50/82,845 = 82,845/x
3. Step 3: Cross multiply
   37,921.50x = 82,845 × 82,845
4. Step 4: Simplify right side
   37,921.50x = 6,863,294,025
5. Step 5: Solve for x
   x = 6,863,294,025/37,921.50
6. Step 6: Final answer
   x = 180,986.88