Finding the Third Proportional to 10,230 and 21,493

Step by Step Solution

1. Step 1: Write the proportion equation
   10,230 : 21,493 = 21,493 : x
2. Step 2: Convert to fraction form
   10,230/21,493 = 21,493/x
3. Step 3: Cross multiply
   10,230x = 21,493 × 21,493
4. Step 4: Simplify right side
   10,230x = 461,949,049
5. Step 5: Solve for x
   x = 461,949,049/10,230
6. Step 6: Final answer
   x = 45,156.31