Finding the Third Proportional to 1,054.63 and 1,541.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,054.63 : 1,541.38 = 1,541.38 : x
2. Step 2: Convert to fraction form
   1,054.63/1,541.38 = 1,541.38/x
3. Step 3: Cross multiply
   1,054.63x = 1,541.38 × 1,541.38
4. Step 4: Simplify right side
   1,054.63x = 2,375,836.89
5. Step 5: Solve for x
   x = 2,375,836.89/1,054.63
6. Step 6: Final answer
   x = 2,252.78