Finding the Third Proportional to 1,196.50 and 2,165

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.50 : 2,165 = 2,165 : x
2. Step 2: Convert to fraction form
   1,196.50/2,165 = 2,165/x
3. Step 3: Cross multiply
   1,196.50x = 2,165 × 2,165
4. Step 4: Simplify right side
   1,196.50x = 4,687,225
5. Step 5: Solve for x
   x = 4,687,225/1,196.50
6. Step 6: Final answer
   x = 3,917.45