Finding the Third Proportional to 1,297.50 and 1,968.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.50 : 1,968.75 = 1,968.75 : x
2. Step 2: Convert to fraction form
   1,297.50/1,968.75 = 1,968.75/x
3. Step 3: Cross multiply
   1,297.50x = 1,968.75 × 1,968.75
4. Step 4: Simplify right side
   1,297.50x = 3,875,976.56
5. Step 5: Solve for x
   x = 3,875,976.56/1,297.50
6. Step 6: Final answer
   x = 2,987.27