Finding the Third Proportional to 4,182.61 and 5,735.29

Step by Step Solution

1. Step 1: Write the proportion equation
   4,182.61 : 5,735.29 = 5,735.29 : x
2. Step 2: Convert to fraction form
   4,182.61/5,735.29 = 5,735.29/x
3. Step 3: Cross multiply
   4,182.61x = 5,735.29 × 5,735.29
4. Step 4: Simplify right side
   4,182.61x = 32,893,495.82
5. Step 5: Solve for x
   x = 32,893,495.82/4,182.61
6. Step 6: Final answer
   x = 7,864.35