Finding the Third Proportional to 1,047.75 and 1,664.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047.75 : 1,664.25 = 1,664.25 : x
2. Step 2: Convert to fraction form
   1,047.75/1,664.25 = 1,664.25/x
3. Step 3: Cross multiply
   1,047.75x = 1,664.25 × 1,664.25
4. Step 4: Simplify right side
   1,047.75x = 2,769,728.06
5. Step 5: Solve for x
   x = 2,769,728.06/1,047.75
6. Step 6: Final answer
   x = 2,643.50