Finding the Third Proportional to 13,100 and 17,522

Step by Step Solution

1. Step 1: Write the proportion equation
   13,100 : 17,522 = 17,522 : x
2. Step 2: Convert to fraction form
   13,100/17,522 = 17,522/x
3. Step 3: Cross multiply
   13,100x = 17,522 × 17,522
4. Step 4: Simplify right side
   13,100x = 307,020,484
5. Step 5: Solve for x
   x = 307,020,484/13,100
6. Step 6: Final answer
   x = 23,436.68