Finding the Third Proportional to 10,297.13 and 16,569.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.13 : 16,569.56 = 16,569.56 : x
2. Step 2: Convert to fraction form
   10,297.13/16,569.56 = 16,569.56/x
3. Step 3: Cross multiply
   10,297.13x = 16,569.56 × 16,569.56
4. Step 4: Simplify right side
   10,297.13x = 274,550,401.44
5. Step 5: Solve for x
   x = 274,550,401.44/10,297.13
6. Step 6: Final answer
   x = 26,662.82