Finding the Third Proportional to 2,687.77 and 5,905.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,687.77 : 5,905.41 = 5,905.41 : x
2. Step 2: Convert to fraction form
   2,687.77/5,905.41 = 5,905.41/x
3. Step 3: Cross multiply
   2,687.77x = 5,905.41 × 5,905.41
4. Step 4: Simplify right side
   2,687.77x = 34,873,822.98
5. Step 5: Solve for x
   x = 34,873,822.98/2,687.77
6. Step 6: Final answer
   x = 12,975.02