Finding the Third Proportional to 2,627.63 and 5,498.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.63 : 5,498.81 = 5,498.81 : x
2. Step 2: Convert to fraction form
   2,627.63/5,498.81 = 5,498.81/x
3. Step 3: Cross multiply
   2,627.63x = 5,498.81 × 5,498.81
4. Step 4: Simplify right side
   2,627.63x = 30,236,938.91
5. Step 5: Solve for x
   x = 30,236,938.91/2,627.63
6. Step 6: Final answer
   x = 11,507.33