Finding the Third Proportional to 20,238 and 41,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,238 : 41,278.50 = 41,278.50 : x
2. Step 2: Convert to fraction form
   20,238/41,278.50 = 41,278.50/x
3. Step 3: Cross multiply
   20,238x = 41,278.50 × 41,278.50
4. Step 4: Simplify right side
   20,238x = 1,703,914,562.25
5. Step 5: Solve for x
   x = 1,703,914,562.25/20,238
6. Step 6: Final answer
   x = 84,193.82