Finding the Third Proportional to 2,166.19 and 3,488.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166.19 : 3,488.34 = 3,488.34 : x
2. Step 2: Convert to fraction form
   2,166.19/3,488.34 = 3,488.34/x
3. Step 3: Cross multiply
   2,166.19x = 3,488.34 × 3,488.34
4. Step 4: Simplify right side
   2,166.19x = 12,168,542.12
5. Step 5: Solve for x
   x = 12,168,542.12/2,166.19
6. Step 6: Final answer
   x = 5,617.49