Finding the Third Proportional to 1,297.69 and 1,968.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.69 : 1,968.47 = 1,968.47 : x
2. Step 2: Convert to fraction form
   1,297.69/1,968.47 = 1,968.47/x
3. Step 3: Cross multiply
   1,297.69x = 1,968.47 × 1,968.47
4. Step 4: Simplify right side
   1,297.69x = 3,874,869.22
5. Step 5: Solve for x
   x = 3,874,869.22/1,297.69
6. Step 6: Final answer
   x = 2,985.98