Finding the Third Proportional to 13,769 and 21,884

Step by Step Solution

1. Step 1: Write the proportion equation
   13,769 : 21,884 = 21,884 : x
2. Step 2: Convert to fraction form
   13,769/21,884 = 21,884/x
3. Step 3: Cross multiply
   13,769x = 21,884 × 21,884
4. Step 4: Simplify right side
   13,769x = 478,909,456
5. Step 5: Solve for x
   x = 478,909,456/13,769
6. Step 6: Final answer
   x = 34,781.72