Finding the Third Proportional to 13,840 and 21,488

Step by Step Solution

1. Step 1: Write the proportion equation
   13,840 : 21,488 = 21,488 : x
2. Step 2: Convert to fraction form
   13,840/21,488 = 21,488/x
3. Step 3: Cross multiply
   13,840x = 21,488 × 21,488
4. Step 4: Simplify right side
   13,840x = 461,734,144
5. Step 5: Solve for x
   x = 461,734,144/13,840
6. Step 6: Final answer
   x = 33,362.29