Finding the Third Proportional to 9,816 and 20,460

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816 : 20,460 = 20,460 : x
2. Step 2: Convert to fraction form
   9,816/20,460 = 20,460/x
3. Step 3: Cross multiply
   9,816x = 20,460 × 20,460
4. Step 4: Simplify right side
   9,816x = 418,611,600
5. Step 5: Solve for x
   x = 418,611,600/9,816
6. Step 6: Final answer
   x = 42,645.84