Finding the Third Proportional to 10,570 and 14,786

Step by Step Solution

1. Step 1: Write the proportion equation
   10,570 : 14,786 = 14,786 : x
2. Step 2: Convert to fraction form
   10,570/14,786 = 14,786/x
3. Step 3: Cross multiply
   10,570x = 14,786 × 14,786
4. Step 4: Simplify right side
   10,570x = 218,625,796
5. Step 5: Solve for x
   x = 218,625,796/10,570
6. Step 6: Final answer
   x = 20,683.61