Finding the Third Proportional to 2,507.63 and 3,882.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.63 : 3,882.09 = 3,882.09 : x
2. Step 2: Convert to fraction form
   2,507.63/3,882.09 = 3,882.09/x
3. Step 3: Cross multiply
   2,507.63x = 3,882.09 × 3,882.09
4. Step 4: Simplify right side
   2,507.63x = 15,070,651.88
5. Step 5: Solve for x
   x = 15,070,651.88/2,507.63
6. Step 6: Final answer
   x = 6,009.93