Finding the Third Proportional to 2,001.81 and 3,180.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.81 : 3,180.88 = 3,180.88 : x
2. Step 2: Convert to fraction form
   2,001.81/3,180.88 = 3,180.88/x
3. Step 3: Cross multiply
   2,001.81x = 3,180.88 × 3,180.88
4. Step 4: Simplify right side
   2,001.81x = 10,117,965.77
5. Step 5: Solve for x
   x = 10,117,965.77/2,001.81
6. Step 6: Final answer
   x = 5,054.40