Finding the Third Proportional to 1,186.88 and 1,857.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.88 : 1,857.38 = 1,857.38 : x
2. Step 2: Convert to fraction form
   1,186.88/1,857.38 = 1,857.38/x
3. Step 3: Cross multiply
   1,186.88x = 1,857.38 × 1,857.38
4. Step 4: Simplify right side
   1,186.88x = 3,449,841.89
5. Step 5: Solve for x
   x = 3,449,841.89/1,186.88
6. Step 6: Final answer
   x = 2,906.66