Finding the Third Proportional to 1,186.52 and 1,675.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.52 : 1,675.37 = 1,675.37 : x
2. Step 2: Convert to fraction form
   1,186.52/1,675.37 = 1,675.37/x
3. Step 3: Cross multiply
   1,186.52x = 1,675.37 × 1,675.37
4. Step 4: Simplify right side
   1,186.52x = 2,806,868.30
5. Step 5: Solve for x
   x = 2,806,868.30/1,186.52
6. Step 6: Final answer
   x = 2,365.62