Finding the Third Proportional to 1,587.88 and 2,141.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.88 : 2,141.94 = 2,141.94 : x
2. Step 2: Convert to fraction form
   1,587.88/2,141.94 = 2,141.94/x
3. Step 3: Cross multiply
   1,587.88x = 2,141.94 × 2,141.94
4. Step 4: Simplify right side
   1,587.88x = 4,587,896.25
5. Step 5: Solve for x
   x = 4,587,896.25/1,587.88
6. Step 6: Final answer
   x = 2,889.33