Finding the Third Proportional to 37,938 and 82,883

Step by Step Solution

1. Step 1: Write the proportion equation
   37,938 : 82,883 = 82,883 : x
2. Step 2: Convert to fraction form
   37,938/82,883 = 82,883/x
3. Step 3: Cross multiply
   37,938x = 82,883 × 82,883
4. Step 4: Simplify right side
   37,938x = 6,869,591,689
5. Step 5: Solve for x
   x = 6,869,591,689/37,938
6. Step 6: Final answer
   x = 181,074.17