Finding the Third Proportional to 10,706 and 14,505

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706 : 14,505 = 14,505 : x
2. Step 2: Convert to fraction form
   10,706/14,505 = 14,505/x
3. Step 3: Cross multiply
   10,706x = 14,505 × 14,505
4. Step 4: Simplify right side
   10,706x = 210,395,025
5. Step 5: Solve for x
   x = 210,395,025/10,706
6. Step 6: Final answer
   x = 19,652.07