Finding the Third Proportional to 1,541.53 and 2,325.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.53 : 2,325.59 = 2,325.59 : x
2. Step 2: Convert to fraction form
   1,541.53/2,325.59 = 2,325.59/x
3. Step 3: Cross multiply
   1,541.53x = 2,325.59 × 2,325.59
4. Step 4: Simplify right side
   1,541.53x = 5,408,349.95
5. Step 5: Solve for x
   x = 5,408,349.95/1,541.53
6. Step 6: Final answer
   x = 3,508.43