Finding the Third Proportional to 1,974.38 and 4,123.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,974.38 : 4,123.41 = 4,123.41 : x
2. Step 2: Convert to fraction form
   1,974.38/4,123.41 = 4,123.41/x
3. Step 3: Cross multiply
   1,974.38x = 4,123.41 × 4,123.41
4. Step 4: Simplify right side
   1,974.38x = 17,002,479.10
5. Step 5: Solve for x
   x = 17,002,479.10/1,974.38
6. Step 6: Final answer
   x = 8,611.58