Finding the Third Proportional to 2,889.23 and 4,128.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,889.23 : 4,128.61 = 4,128.61 : x
2. Step 2: Convert to fraction form
   2,889.23/4,128.61 = 4,128.61/x
3. Step 3: Cross multiply
   2,889.23x = 4,128.61 × 4,128.61
4. Step 4: Simplify right side
   2,889.23x = 17,045,415.37
5. Step 5: Solve for x
   x = 17,045,415.37/2,889.23
6. Step 6: Final answer
   x = 5,899.63