Finding the Third Proportional to 1,297.69 and 1,971.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.69 : 1,971.42 = 1,971.42 : x
2. Step 2: Convert to fraction form
   1,297.69/1,971.42 = 1,971.42/x
3. Step 3: Cross multiply
   1,297.69x = 1,971.42 × 1,971.42
4. Step 4: Simplify right side
   1,297.69x = 3,886,504.21
5. Step 5: Solve for x
   x = 3,886,504.21/1,297.69
6. Step 6: Final answer
   x = 2,994.95