Finding the Third Proportional to 10,564 and 14,770

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 14,770 = 14,770 : x
2. Step 2: Convert to fraction form
   10,564/14,770 = 14,770/x
3. Step 3: Cross multiply
   10,564x = 14,770 × 14,770
4. Step 4: Simplify right side
   10,564x = 218,152,900
5. Step 5: Solve for x
   x = 218,152,900/10,564
6. Step 6: Final answer
   x = 20,650.60