Finding the Third Proportional to 2,678.63 and 5,527.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.63 : 5,527.88 = 5,527.88 : x
2. Step 2: Convert to fraction form
   2,678.63/5,527.88 = 5,527.88/x
3. Step 3: Cross multiply
   2,678.63x = 5,527.88 × 5,527.88
4. Step 4: Simplify right side
   2,678.63x = 30,557,402.02
5. Step 5: Solve for x
   x = 30,557,402.02/2,678.63
6. Step 6: Final answer
   x = 11,407.87