Finding the Third Proportional to 10,213 and 14,968

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213 : 14,968 = 14,968 : x
2. Step 2: Convert to fraction form
   10,213/14,968 = 14,968/x
3. Step 3: Cross multiply
   10,213x = 14,968 × 14,968
4. Step 4: Simplify right side
   10,213x = 224,041,024
5. Step 5: Solve for x
   x = 224,041,024/10,213
6. Step 6: Final answer
   x = 21,936.85