Finding the Third Proportional to 2,507.63 and 5,459.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.63 : 5,459.06 = 5,459.06 : x
2. Step 2: Convert to fraction form
   2,507.63/5,459.06 = 5,459.06/x
3. Step 3: Cross multiply
   2,507.63x = 5,459.06 × 5,459.06
4. Step 4: Simplify right side
   2,507.63x = 29,801,363.38
5. Step 5: Solve for x
   x = 29,801,363.38/2,507.63
6. Step 6: Final answer
   x = 11,884.30