Finding the Third Proportional to 1,134.94 and 1,562.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,134.94 : 1,562.81 = 1,562.81 : x
2. Step 2: Convert to fraction form
   1,134.94/1,562.81 = 1,562.81/x
3. Step 3: Cross multiply
   1,134.94x = 1,562.81 × 1,562.81
4. Step 4: Simplify right side
   1,134.94x = 2,442,382.91
5. Step 5: Solve for x
   x = 2,442,382.91/1,134.94
6. Step 6: Final answer
   x = 2,152.00