Finding the Third Proportional to 1,297.75 and 1,941.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.75 : 1,941.25 = 1,941.25 : x
2. Step 2: Convert to fraction form
   1,297.75/1,941.25 = 1,941.25/x
3. Step 3: Cross multiply
   1,297.75x = 1,941.25 × 1,941.25
4. Step 4: Simplify right side
   1,297.75x = 3,768,451.56
5. Step 5: Solve for x
   x = 3,768,451.56/1,297.75
6. Step 6: Final answer
   x = 2,903.83