Finding the Third Proportional to 1,755.69 and 2,628.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,755.69 : 2,628.56 = 2,628.56 : x
2. Step 2: Convert to fraction form
   1,755.69/2,628.56 = 2,628.56/x
3. Step 3: Cross multiply
   1,755.69x = 2,628.56 × 2,628.56
4. Step 4: Simplify right side
   1,755.69x = 6,909,340.82
5. Step 5: Solve for x
   x = 6,909,340.82/1,755.69
6. Step 6: Final answer
   x = 3,935.40