Finding the Third Proportional to 2,565.42 and 5,267.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.42 : 5,267.53 = 5,267.53 : x
2. Step 2: Convert to fraction form
   2,565.42/5,267.53 = 5,267.53/x
3. Step 3: Cross multiply
   2,565.42x = 5,267.53 × 5,267.53
4. Step 4: Simplify right side
   2,565.42x = 27,746,885.47
5. Step 5: Solve for x
   x = 27,746,885.47/2,565.42
6. Step 6: Final answer
   x = 10,815.72