Finding the Third Proportional to 2,725.13 and 5,886.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,725.13 : 5,886.38 = 5,886.38 : x
2. Step 2: Convert to fraction form
   2,725.13/5,886.38 = 5,886.38/x
3. Step 3: Cross multiply
   2,725.13x = 5,886.38 × 5,886.38
4. Step 4: Simplify right side
   2,725.13x = 34,649,410.64
5. Step 5: Solve for x
   x = 34,649,410.64/2,725.13
6. Step 6: Final answer
   x = 12,714.80