Finding the Third Proportional to 836.25 and 1,751.25

Step by Step Solution

1. Step 1: Write the proportion equation
   836.25 : 1,751.25 = 1,751.25 : x
2. Step 2: Convert to fraction form
   836.25/1,751.25 = 1,751.25/x
3. Step 3: Cross multiply
   836.25x = 1,751.25 × 1,751.25
4. Step 4: Simplify right side
   836.25x = 3,066,876.56
5. Step 5: Solve for x
   x = 3,066,876.56/836.25
6. Step 6: Final answer
   x = 3,667.42