Finding the Third Proportional to 1,204.50 and 1,801.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.50 : 1,801.63 = 1,801.63 : x
2. Step 2: Convert to fraction form
   1,204.50/1,801.63 = 1,801.63/x
3. Step 3: Cross multiply
   1,204.50x = 1,801.63 × 1,801.63
4. Step 4: Simplify right side
   1,204.50x = 3,245,852.64
5. Step 5: Solve for x
   x = 3,245,852.64/1,204.50
6. Step 6: Final answer
   x = 2,694.77