Finding the Third Proportional to 1,168.88 and 1,823.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,168.88 : 1,823.63 = 1,823.63 : x
2. Step 2: Convert to fraction form
   1,168.88/1,823.63 = 1,823.63/x
3. Step 3: Cross multiply
   1,168.88x = 1,823.63 × 1,823.63
4. Step 4: Simplify right side
   1,168.88x = 3,325,608.14
5. Step 5: Solve for x
   x = 3,325,608.14/1,168.88
6. Step 6: Final answer
   x = 2,845.14