Finding the Third Proportional to 1,072.88 and 2,175.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.88 : 2,175.38 = 2,175.38 : x
2. Step 2: Convert to fraction form
   1,072.88/2,175.38 = 2,175.38/x
3. Step 3: Cross multiply
   1,072.88x = 2,175.38 × 2,175.38
4. Step 4: Simplify right side
   1,072.88x = 4,732,256.39
5. Step 5: Solve for x
   x = 4,732,256.39/1,072.88
6. Step 6: Final answer
   x = 4,410.82