Finding the Third Proportional to 2,166.19 and 4,744.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166.19 : 4,744.69 = 4,744.69 : x
2. Step 2: Convert to fraction form
   2,166.19/4,744.69 = 4,744.69/x
3. Step 3: Cross multiply
   2,166.19x = 4,744.69 × 4,744.69
4. Step 4: Simplify right side
   2,166.19x = 22,512,059.47
5. Step 5: Solve for x
   x = 22,512,059.47/2,166.19
6. Step 6: Final answer
   x = 10,392.48