Finding the Third Proportional to 1,493.25 and 2,181.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.25 : 2,181.94 = 2,181.94 : x
2. Step 2: Convert to fraction form
   1,493.25/2,181.94 = 2,181.94/x
3. Step 3: Cross multiply
   1,493.25x = 2,181.94 × 2,181.94
4. Step 4: Simplify right side
   1,493.25x = 4,760,851.25
5. Step 5: Solve for x
   x = 4,760,851.25/1,493.25
6. Step 6: Final answer
   x = 3,188.25