Finding the Third Proportional to 2,314.41 and 2,938.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.41 : 2,938.78 = 2,938.78 : x
2. Step 2: Convert to fraction form
   2,314.41/2,938.78 = 2,938.78/x
3. Step 3: Cross multiply
   2,314.41x = 2,938.78 × 2,938.78
4. Step 4: Simplify right side
   2,314.41x = 8,636,435.24
5. Step 5: Solve for x
   x = 8,636,435.24/2,314.41
6. Step 6: Final answer
   x = 3,731.60