Finding the Third Proportional to 13,580 and 21,608

Step by Step Solution

1. Step 1: Write the proportion equation
   13,580 : 21,608 = 21,608 : x
2. Step 2: Convert to fraction form
   13,580/21,608 = 21,608/x
3. Step 3: Cross multiply
   13,580x = 21,608 × 21,608
4. Step 4: Simplify right side
   13,580x = 466,905,664
5. Step 5: Solve for x
   x = 466,905,664/13,580
6. Step 6: Final answer
   x = 34,381.86