Finding the Third Proportional to 1,515.94 and 2,314.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,515.94 : 2,314.41 = 2,314.41 : x
2. Step 2: Convert to fraction form
   1,515.94/2,314.41 = 2,314.41/x
3. Step 3: Cross multiply
   1,515.94x = 2,314.41 × 2,314.41
4. Step 4: Simplify right side
   1,515.94x = 5,356,476.29
5. Step 5: Solve for x
   x = 5,356,476.29/1,515.94
6. Step 6: Final answer
   x = 3,533.44