Finding the Third Proportional to 2,005.88 and 2,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.88 : 2,677.50 = 2,677.50 : x
2. Step 2: Convert to fraction form
   2,005.88/2,677.50 = 2,677.50/x
3. Step 3: Cross multiply
   2,005.88x = 2,677.50 × 2,677.50
4. Step 4: Simplify right side
   2,005.88x = 7,169,006.25
5. Step 5: Solve for x
   x = 7,169,006.25/2,005.88
6. Step 6: Final answer
   x = 3,574.00