Finding the Third Proportional to 1,420.03 and 2,080.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.03 : 2,080.27 = 2,080.27 : x
2. Step 2: Convert to fraction form
   1,420.03/2,080.27 = 2,080.27/x
3. Step 3: Cross multiply
   1,420.03x = 2,080.27 × 2,080.27
4. Step 4: Simplify right side
   1,420.03x = 4,327,505.07
5. Step 5: Solve for x
   x = 4,327,505.07/1,420.03
6. Step 6: Final answer
   x = 3,047.47