Finding the Third Proportional to 1,776.30 and 2,664.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.30 : 2,664.77 = 2,664.77 : x
2. Step 2: Convert to fraction form
   1,776.30/2,664.77 = 2,664.77/x
3. Step 3: Cross multiply
   1,776.30x = 2,664.77 × 2,664.77
4. Step 4: Simplify right side
   1,776.30x = 7,101,017.47
5. Step 5: Solve for x
   x = 7,101,017.47/1,776.30
6. Step 6: Final answer
   x = 3,997.63