Finding the Third Proportional to 13,766 and 21,471

Step by Step Solution

1. Step 1: Write the proportion equation
   13,766 : 21,471 = 21,471 : x
2. Step 2: Convert to fraction form
   13,766/21,471 = 21,471/x
3. Step 3: Cross multiply
   13,766x = 21,471 × 21,471
4. Step 4: Simplify right side
   13,766x = 461,003,841
5. Step 5: Solve for x
   x = 461,003,841/13,766
6. Step 6: Final answer
   x = 33,488.58