Finding the Third Proportional to 1,300.75 and 1,967.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.75 : 1,967.75 = 1,967.75 : x
2. Step 2: Convert to fraction form
   1,300.75/1,967.75 = 1,967.75/x
3. Step 3: Cross multiply
   1,300.75x = 1,967.75 × 1,967.75
4. Step 4: Simplify right side
   1,300.75x = 3,872,040.06
5. Step 5: Solve for x
   x = 3,872,040.06/1,300.75
6. Step 6: Final answer
   x = 2,976.77