Finding the Third Proportional to 1,830 and 2,196

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830 : 2,196 = 2,196 : x
2. Step 2: Convert to fraction form
   1,830/2,196 = 2,196/x
3. Step 3: Cross multiply
   1,830x = 2,196 × 2,196
4. Step 4: Simplify right side
   1,830x = 4,822,416
5. Step 5: Solve for x
   x = 4,822,416/1,830
6. Step 6: Final answer
   x = 2,635.20