Finding the Third Proportional to 2,561.63 and 5,430.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.63 : 5,430.38 = 5,430.38 : x
2. Step 2: Convert to fraction form
   2,561.63/5,430.38 = 5,430.38/x
3. Step 3: Cross multiply
   2,561.63x = 5,430.38 × 5,430.38
4. Step 4: Simplify right side
   2,561.63x = 29,488,972.64
5. Step 5: Solve for x
   x = 29,488,972.64/2,561.63
6. Step 6: Final answer
   x = 11,511.82