Finding the Third Proportional to 1,085.25 and 2,366.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.25 : 2,366.63 = 2,366.63 : x
2. Step 2: Convert to fraction form
   1,085.25/2,366.63 = 2,366.63/x
3. Step 3: Cross multiply
   1,085.25x = 2,366.63 × 2,366.63
4. Step 4: Simplify right side
   1,085.25x = 5,600,913.89
5. Step 5: Solve for x
   x = 5,600,913.89/1,085.25
6. Step 6: Final answer
   x = 5,160.94