Finding the Third Proportional to 2,053.69 and 4,374

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.69 : 4,374 = 4,374 : x
2. Step 2: Convert to fraction form
   2,053.69/4,374 = 4,374/x
3. Step 3: Cross multiply
   2,053.69x = 4,374 × 4,374
4. Step 4: Simplify right side
   2,053.69x = 19,131,876
5. Step 5: Solve for x
   x = 19,131,876/2,053.69
6. Step 6: Final answer
   x = 9,315.87