Finding the Third Proportional to 10,820 and 17,770

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 17,770 = 17,770 : x
2. Step 2: Convert to fraction form
   10,820/17,770 = 17,770/x
3. Step 3: Cross multiply
   10,820x = 17,770 × 17,770
4. Step 4: Simplify right side
   10,820x = 315,772,900
5. Step 5: Solve for x
   x = 315,772,900/10,820
6. Step 6: Final answer
   x = 29,184.19