Finding the Third Proportional to 2,166.47 and 3,488.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166.47 : 3,488.91 = 3,488.91 : x
2. Step 2: Convert to fraction form
   2,166.47/3,488.91 = 3,488.91/x
3. Step 3: Cross multiply
   2,166.47x = 3,488.91 × 3,488.91
4. Step 4: Simplify right side
   2,166.47x = 12,172,466.82
5. Step 5: Solve for x
   x = 12,172,466.82/2,166.47
6. Step 6: Final answer
   x = 5,618.57