Finding the Third Proportional to 1,053.63 and 1,604.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.63 : 1,604.18 = 1,604.18 : x
2. Step 2: Convert to fraction form
   1,053.63/1,604.18 = 1,604.18/x
3. Step 3: Cross multiply
   1,053.63x = 1,604.18 × 1,604.18
4. Step 4: Simplify right side
   1,053.63x = 2,573,392.47
5. Step 5: Solve for x
   x = 2,573,392.47/1,053.63
6. Step 6: Final answer
   x = 2,442.40