Finding the Third Proportional to 16,461 and 23,522

Step by Step Solution

1. Step 1: Write the proportion equation
   16,461 : 23,522 = 23,522 : x
2. Step 2: Convert to fraction form
   16,461/23,522 = 23,522/x
3. Step 3: Cross multiply
   16,461x = 23,522 × 23,522
4. Step 4: Simplify right side
   16,461x = 553,284,484
5. Step 5: Solve for x
   x = 553,284,484/16,461
6. Step 6: Final answer
   x = 33,611.84