Finding the Third Proportional to 10,438 and 21,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438 : 21,738.50 = 21,738.50 : x
2. Step 2: Convert to fraction form
   10,438/21,738.50 = 21,738.50/x
3. Step 3: Cross multiply
   10,438x = 21,738.50 × 21,738.50
4. Step 4: Simplify right side
   10,438x = 472,562,382.25
5. Step 5: Solve for x
   x = 472,562,382.25/10,438
6. Step 6: Final answer
   x = 45,273.27