Finding the Third Proportional to 2,175.61 and 3,166.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,175.61 : 3,166.59 = 3,166.59 : x
2. Step 2: Convert to fraction form
   2,175.61/3,166.59 = 3,166.59/x
3. Step 3: Cross multiply
   2,175.61x = 3,166.59 × 3,166.59
4. Step 4: Simplify right side
   2,175.61x = 10,027,315.98
5. Step 5: Solve for x
   x = 10,027,315.98/2,175.61
6. Step 6: Final answer
   x = 4,608.97