Finding the Third Proportional to 1,077.75 and 1,664.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.75 : 1,664.06 = 1,664.06 : x
2. Step 2: Convert to fraction form
   1,077.75/1,664.06 = 1,664.06/x
3. Step 3: Cross multiply
   1,077.75x = 1,664.06 × 1,664.06
4. Step 4: Simplify right side
   1,077.75x = 2,769,104.00
5. Step 5: Solve for x
   x = 2,769,104.00/1,077.75
6. Step 6: Final answer
   x = 2,569.34