Finding the Third Proportional to 1,971.75 and 3,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,971.75 : 3,077.25 = 3,077.25 : x
2. Step 2: Convert to fraction form
   1,971.75/3,077.25 = 3,077.25/x
3. Step 3: Cross multiply
   1,971.75x = 3,077.25 × 3,077.25
4. Step 4: Simplify right side
   1,971.75x = 9,469,467.56
5. Step 5: Solve for x
   x = 9,469,467.56/1,971.75
6. Step 6: Final answer
   x = 4,802.57