Finding the Third Proportional to 2,611.88 and 4,076.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,611.88 : 4,076.63 = 4,076.63 : x
2. Step 2: Convert to fraction form
   2,611.88/4,076.63 = 4,076.63/x
3. Step 3: Cross multiply
   2,611.88x = 4,076.63 × 4,076.63
4. Step 4: Simplify right side
   2,611.88x = 16,618,871.39
5. Step 5: Solve for x
   x = 16,618,871.39/2,611.88
6. Step 6: Final answer
   x = 6,362.81