Finding the Third Proportional to 13,946 and 30,266

Step by Step Solution

1. Step 1: Write the proportion equation
   13,946 : 30,266 = 30,266 : x
2. Step 2: Convert to fraction form
   13,946/30,266 = 30,266/x
3. Step 3: Cross multiply
   13,946x = 30,266 × 30,266
4. Step 4: Simplify right side
   13,946x = 916,030,756
5. Step 5: Solve for x
   x = 916,030,756/13,946
6. Step 6: Final answer
   x = 65,684.12