Finding the Third Proportional to 10,314 and 21,660

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314 : 21,660 = 21,660 : x
2. Step 2: Convert to fraction form
   10,314/21,660 = 21,660/x
3. Step 3: Cross multiply
   10,314x = 21,660 × 21,660
4. Step 4: Simplify right side
   10,314x = 469,155,600
5. Step 5: Solve for x
   x = 469,155,600/10,314
6. Step 6: Final answer
   x = 45,487.26