Finding the Third Proportional to 1,004.63 and 2,181.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.63 : 2,181.38 = 2,181.38 : x
2. Step 2: Convert to fraction form
   1,004.63/2,181.38 = 2,181.38/x
3. Step 3: Cross multiply
   1,004.63x = 2,181.38 × 2,181.38
4. Step 4: Simplify right side
   1,004.63x = 4,758,396.89
5. Step 5: Solve for x
   x = 4,758,396.89/1,004.63
6. Step 6: Final answer
   x = 4,736.49