Finding the Third Proportional to 1,080.42 and 1,681.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,080.42 : 1,681.80 = 1,681.80 : x
2. Step 2: Convert to fraction form
   1,080.42/1,681.80 = 1,681.80/x
3. Step 3: Cross multiply
   1,080.42x = 1,681.80 × 1,681.80
4. Step 4: Simplify right side
   1,080.42x = 2,828,467.01
5. Step 5: Solve for x
   x = 2,828,467.01/1,080.42
6. Step 6: Final answer
   x = 2,617.93