Finding the Third Proportional to 1,080.25 and 2,314.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,080.25 : 2,314.25 = 2,314.25 : x
2. Step 2: Convert to fraction form
   1,080.25/2,314.25 = 2,314.25/x
3. Step 3: Cross multiply
   1,080.25x = 2,314.25 × 2,314.25
4. Step 4: Simplify right side
   1,080.25x = 5,355,753.06
5. Step 5: Solve for x
   x = 5,355,753.06/1,080.25
6. Step 6: Final answer
   x = 4,957.88