Finding the Third Proportional to 1,769 and 3,112.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,769 : 3,112.25 = 3,112.25 : x
2. Step 2: Convert to fraction form
   1,769/3,112.25 = 3,112.25/x
3. Step 3: Cross multiply
   1,769x = 3,112.25 × 3,112.25
4. Step 4: Simplify right side
   1,769x = 9,686,100.06
5. Step 5: Solve for x
   x = 9,686,100.06/1,769
6. Step 6: Final answer
   x = 5,475.47