Finding the Third Proportional to 2,093.06 and 4,514.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,093.06 : 4,514.06 = 4,514.06 : x
2. Step 2: Convert to fraction form
   2,093.06/4,514.06 = 4,514.06/x
3. Step 3: Cross multiply
   2,093.06x = 4,514.06 × 4,514.06
4. Step 4: Simplify right side
   2,093.06x = 20,376,760.25
5. Step 5: Solve for x
   x = 20,376,760.25/2,093.06
6. Step 6: Final answer
   x = 9,735.38