Finding the Third Proportional to 2,561.63 and 5,877.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.63 : 5,877.56 = 5,877.56 : x
2. Step 2: Convert to fraction form
   2,561.63/5,877.56 = 5,877.56/x
3. Step 3: Cross multiply
   2,561.63x = 5,877.56 × 5,877.56
4. Step 4: Simplify right side
   2,561.63x = 34,545,740.94
5. Step 5: Solve for x
   x = 34,545,740.94/2,561.63
6. Step 6: Final answer
   x = 13,485.87