Finding the Third Proportional to 2,782.69 and 6,051.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.69 : 6,051.38 = 6,051.38 : x
2. Step 2: Convert to fraction form
   2,782.69/6,051.38 = 6,051.38/x
3. Step 3: Cross multiply
   2,782.69x = 6,051.38 × 6,051.38
4. Step 4: Simplify right side
   2,782.69x = 36,619,139.39
5. Step 5: Solve for x
   x = 36,619,139.39/2,782.69
6. Step 6: Final answer
   x = 13,159.63