Finding the Third Proportional to 2,689.22 and 5,790.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,689.22 : 5,790.47 = 5,790.47 : x
2. Step 2: Convert to fraction form
   2,689.22/5,790.47 = 5,790.47/x
3. Step 3: Cross multiply
   2,689.22x = 5,790.47 × 5,790.47
4. Step 4: Simplify right side
   2,689.22x = 33,529,528.34
5. Step 5: Solve for x
   x = 33,529,528.34/2,689.22
6. Step 6: Final answer
   x = 12,468.13