Finding the Third Proportional to 1,566.84 and 1,995.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.84 : 1,995.89 = 1,995.89 : x
2. Step 2: Convert to fraction form
   1,566.84/1,995.89 = 1,995.89/x
3. Step 3: Cross multiply
   1,566.84x = 1,995.89 × 1,995.89
4. Step 4: Simplify right side
   1,566.84x = 3,983,579.39
5. Step 5: Solve for x
   x = 3,983,579.39/1,566.84
6. Step 6: Final answer
   x = 2,542.42