Finding the Third Proportional to 1,034.72 and 1,601.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,034.72 : 1,601.44 = 1,601.44 : x
2. Step 2: Convert to fraction form
   1,034.72/1,601.44 = 1,601.44/x
3. Step 3: Cross multiply
   1,034.72x = 1,601.44 × 1,601.44
4. Step 4: Simplify right side
   1,034.72x = 2,564,602.07
5. Step 5: Solve for x
   x = 2,564,602.07/1,034.72
6. Step 6: Final answer
   x = 2,478.55