Finding the Third Proportional to 2,085.50 and 4,460

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.50 : 4,460 = 4,460 : x
2. Step 2: Convert to fraction form
   2,085.50/4,460 = 4,460/x
3. Step 3: Cross multiply
   2,085.50x = 4,460 × 4,460
4. Step 4: Simplify right side
   2,085.50x = 19,891,600
5. Step 5: Solve for x
   x = 19,891,600/2,085.50
6. Step 6: Final answer
   x = 9,538.05