Finding the Third Proportional to 19,638 and 40,938.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,638 : 40,938.75 = 40,938.75 : x
2. Step 2: Convert to fraction form
   19,638/40,938.75 = 40,938.75/x
3. Step 3: Cross multiply
   19,638x = 40,938.75 × 40,938.75
4. Step 4: Simplify right side
   19,638x = 1,675,981,251.56
5. Step 5: Solve for x
   x = 1,675,981,251.56/19,638
6. Step 6: Final answer
   x = 85,343.79