Finding the Third Proportional to 1,004.88 and 2,181.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.88 : 2,181.88 = 2,181.88 : x
2. Step 2: Convert to fraction form
   1,004.88/2,181.88 = 2,181.88/x
3. Step 3: Cross multiply
   1,004.88x = 2,181.88 × 2,181.88
4. Step 4: Simplify right side
   1,004.88x = 4,760,578.52
5. Step 5: Solve for x
   x = 4,760,578.52/1,004.88
6. Step 6: Final answer
   x = 4,737.48