Finding the Third Proportional to 37,938 and 54,647

Step by Step Solution

1. Step 1: Write the proportion equation
   37,938 : 54,647 = 54,647 : x
2. Step 2: Convert to fraction form
   37,938/54,647 = 54,647/x
3. Step 3: Cross multiply
   37,938x = 54,647 × 54,647
4. Step 4: Simplify right side
   37,938x = 2,986,294,609
5. Step 5: Solve for x
   x = 2,986,294,609/37,938
6. Step 6: Final answer
   x = 78,715.13