Finding the Third Proportional to 1,186.50 and 1,896

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.50 : 1,896 = 1,896 : x
2. Step 2: Convert to fraction form
   1,186.50/1,896 = 1,896/x
3. Step 3: Cross multiply
   1,186.50x = 1,896 × 1,896
4. Step 4: Simplify right side
   1,186.50x = 3,594,816
5. Step 5: Solve for x
   x = 3,594,816/1,186.50
6. Step 6: Final answer
   x = 3,029.76