Finding the Third Proportional to 1,134.84 and 2,535.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,134.84 : 2,535.47 = 2,535.47 : x
2. Step 2: Convert to fraction form
   1,134.84/2,535.47 = 2,535.47/x
3. Step 3: Cross multiply
   1,134.84x = 2,535.47 × 2,535.47
4. Step 4: Simplify right side
   1,134.84x = 6,428,601.78
5. Step 5: Solve for x
   x = 6,428,601.78/1,134.84
6. Step 6: Final answer
   x = 5,664.75