Finding the Third Proportional to 1,047.94 and 1,541.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047.94 : 1,541.53 = 1,541.53 : x
2. Step 2: Convert to fraction form
   1,047.94/1,541.53 = 1,541.53/x
3. Step 3: Cross multiply
   1,047.94x = 1,541.53 × 1,541.53
4. Step 4: Simplify right side
   1,047.94x = 2,376,318.59
5. Step 5: Solve for x
   x = 2,376,318.59/1,047.94
6. Step 6: Final answer
   x = 2,267.61