Finding the Third Proportional to 9,682 and 23,196

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682 : 23,196 = 23,196 : x
2. Step 2: Convert to fraction form
   9,682/23,196 = 23,196/x
3. Step 3: Cross multiply
   9,682x = 23,196 × 23,196
4. Step 4: Simplify right side
   9,682x = 538,054,416
5. Step 5: Solve for x
   x = 538,054,416/9,682
6. Step 6: Final answer
   x = 55,572.65