Finding the Third Proportional to 1,541.53 and 2,089.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.53 : 2,089.55 = 2,089.55 : x
2. Step 2: Convert to fraction form
   1,541.53/2,089.55 = 2,089.55/x
3. Step 3: Cross multiply
   1,541.53x = 2,089.55 × 2,089.55
4. Step 4: Simplify right side
   1,541.53x = 4,366,206.14
5. Step 5: Solve for x
   x = 4,366,206.14/1,541.53
6. Step 6: Final answer
   x = 2,832.38