Finding the Third Proportional to 2,741.34 and 5,830.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,741.34 : 5,830.10 = 5,830.10 : x
2. Step 2: Convert to fraction form
   2,741.34/5,830.10 = 5,830.10/x
3. Step 3: Cross multiply
   2,741.34x = 5,830.10 × 5,830.10
4. Step 4: Simplify right side
   2,741.34x = 33,990,084.23
5. Step 5: Solve for x
   x = 33,990,084.23/2,741.34
6. Step 6: Final answer
   x = 12,399.06