Finding the Third Proportional to 2,705.06 and 5,820.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.06 : 5,820.19 = 5,820.19 : x
2. Step 2: Convert to fraction form
   2,705.06/5,820.19 = 5,820.19/x
3. Step 3: Cross multiply
   2,705.06x = 5,820.19 × 5,820.19
4. Step 4: Simplify right side
   2,705.06x = 33,874,582.54
5. Step 5: Solve for x
   x = 33,874,582.54/2,705.06
6. Step 6: Final answer
   x = 12,522.66