Finding the Third Proportional to 10,214 and 20,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214 : 20,670.50 = 20,670.50 : x
2. Step 2: Convert to fraction form
   10,214/20,670.50 = 20,670.50/x
3. Step 3: Cross multiply
   10,214x = 20,670.50 × 20,670.50
4. Step 4: Simplify right side
   10,214x = 427,269,570.25
5. Step 5: Solve for x
   x = 427,269,570.25/10,214
6. Step 6: Final answer
   x = 41,831.76