Finding the Third Proportional to 7,648 and 12,196

Step by Step Solution

1. Step 1: Write the proportion equation
   7,648 : 12,196 = 12,196 : x
2. Step 2: Convert to fraction form
   7,648/12,196 = 12,196/x
3. Step 3: Cross multiply
   7,648x = 12,196 × 12,196
4. Step 4: Simplify right side
   7,648x = 148,742,416
5. Step 5: Solve for x
   x = 148,742,416/7,648
6. Step 6: Final answer
   x = 19,448.54