Finding the Third Proportional to 1,084.25 and 2,251.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.25 : 2,251.25 = 2,251.25 : x
2. Step 2: Convert to fraction form
   1,084.25/2,251.25 = 2,251.25/x
3. Step 3: Cross multiply
   1,084.25x = 2,251.25 × 2,251.25
4. Step 4: Simplify right side
   1,084.25x = 5,068,126.56
5. Step 5: Solve for x
   x = 5,068,126.56/1,084.25
6. Step 6: Final answer
   x = 4,674.32