Finding the Third Proportional to 2,180.81 and 2,989.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180.81 : 2,989.69 = 2,989.69 : x
2. Step 2: Convert to fraction form
   2,180.81/2,989.69 = 2,989.69/x
3. Step 3: Cross multiply
   2,180.81x = 2,989.69 × 2,989.69
4. Step 4: Simplify right side
   2,180.81x = 8,938,231.35
5. Step 5: Solve for x
   x = 8,938,231.35/2,180.81
6. Step 6: Final answer
   x = 4,098.58