Finding the Third Proportional to 2,221.17 and 4,153.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,221.17 : 4,153.78 = 4,153.78 : x
2. Step 2: Convert to fraction form
   2,221.17/4,153.78 = 4,153.78/x
3. Step 3: Cross multiply
   2,221.17x = 4,153.78 × 4,153.78
4. Step 4: Simplify right side
   2,221.17x = 17,253,898.67
5. Step 5: Solve for x
   x = 17,253,898.67/2,221.17
6. Step 6: Final answer
   x = 7,767.93