Finding the Third Proportional to 13,580 and 17,906

Step by Step Solution

1. Step 1: Write the proportion equation
   13,580 : 17,906 = 17,906 : x
2. Step 2: Convert to fraction form
   13,580/17,906 = 17,906/x
3. Step 3: Cross multiply
   13,580x = 17,906 × 17,906
4. Step 4: Simplify right side
   13,580x = 320,624,836
5. Step 5: Solve for x
   x = 320,624,836/13,580
6. Step 6: Final answer
   x = 23,610.08