Finding the Third Proportional to 10,213 and 14,456

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213 : 14,456 = 14,456 : x
2. Step 2: Convert to fraction form
   10,213/14,456 = 14,456/x
3. Step 3: Cross multiply
   10,213x = 14,456 × 14,456
4. Step 4: Simplify right side
   10,213x = 208,975,936
5. Step 5: Solve for x
   x = 208,975,936/10,213
6. Step 6: Final answer
   x = 20,461.76