Finding the Third Proportional to 1,141.88 and 2,638.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.88 : 2,638.69 = 2,638.69 : x
2. Step 2: Convert to fraction form
   1,141.88/2,638.69 = 2,638.69/x
3. Step 3: Cross multiply
   1,141.88x = 2,638.69 × 2,638.69
4. Step 4: Simplify right side
   1,141.88x = 6,962,671.72
5. Step 5: Solve for x
   x = 6,962,671.72/1,141.88
6. Step 6: Final answer
   x = 6,097.58