Finding the Third Proportional to 2,556.63 and 5,477.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.63 : 5,477.38 = 5,477.38 : x
2. Step 2: Convert to fraction form
   2,556.63/5,477.38 = 5,477.38/x
3. Step 3: Cross multiply
   2,556.63x = 5,477.38 × 5,477.38
4. Step 4: Simplify right side
   2,556.63x = 30,001,636.89
5. Step 5: Solve for x
   x = 30,001,636.89/2,556.63
6. Step 6: Final answer
   x = 11,734.86