Finding the Third Proportional to 13,648 and 20,522

Step by Step Solution

1. Step 1: Write the proportion equation
   13,648 : 20,522 = 20,522 : x
2. Step 2: Convert to fraction form
   13,648/20,522 = 20,522/x
3. Step 3: Cross multiply
   13,648x = 20,522 × 20,522
4. Step 4: Simplify right side
   13,648x = 421,152,484
5. Step 5: Solve for x
   x = 421,152,484/13,648
6. Step 6: Final answer
   x = 30,858.18