Finding the Third Proportional to 2,677.50 and 5,081.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,677.50 : 5,081.63 = 5,081.63 : x
2. Step 2: Convert to fraction form
   2,677.50/5,081.63 = 5,081.63/x
3. Step 3: Cross multiply
   2,677.50x = 5,081.63 × 5,081.63
4. Step 4: Simplify right side
   2,677.50x = 25,822,912.64
5. Step 5: Solve for x
   x = 25,822,912.64/2,677.50
6. Step 6: Final answer
   x = 9,644.41