Finding the Third Proportional to 1,153.97 and 2,523.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.97 : 2,523.94 = 2,523.94 : x
2. Step 2: Convert to fraction form
   1,153.97/2,523.94 = 2,523.94/x
3. Step 3: Cross multiply
   1,153.97x = 2,523.94 × 2,523.94
4. Step 4: Simplify right side
   1,153.97x = 6,370,260.50
5. Step 5: Solve for x
   x = 6,370,260.50/1,153.97
6. Step 6: Final answer
   x = 5,520.31