Finding the Third Proportional to 13,768 and 21,886

Step by Step Solution

1. Step 1: Write the proportion equation
   13,768 : 21,886 = 21,886 : x
2. Step 2: Convert to fraction form
   13,768/21,886 = 21,886/x
3. Step 3: Cross multiply
   13,768x = 21,886 × 21,886
4. Step 4: Simplify right side
   13,768x = 478,996,996
5. Step 5: Solve for x
   x = 478,996,996/13,768
6. Step 6: Final answer
   x = 34,790.60