Finding the Third Proportional to 1,321.88 and 3,189.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.88 : 3,189.94 = 3,189.94 : x
2. Step 2: Convert to fraction form
   1,321.88/3,189.94 = 3,189.94/x
3. Step 3: Cross multiply
   1,321.88x = 3,189.94 × 3,189.94
4. Step 4: Simplify right side
   1,321.88x = 10,175,701.25
5. Step 5: Solve for x
   x = 10,175,701.25/1,321.88
6. Step 6: Final answer
   x = 7,697.93