Finding the Third Proportional to 1,080.21 and 2,314.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,080.21 : 2,314.20 = 2,314.20 : x
2. Step 2: Convert to fraction form
   1,080.21/2,314.20 = 2,314.20/x
3. Step 3: Cross multiply
   1,080.21x = 2,314.20 × 2,314.20
4. Step 4: Simplify right side
   1,080.21x = 5,355,499.94
5. Step 5: Solve for x
   x = 5,355,499.94/1,080.21
6. Step 6: Final answer
   x = 4,957.83