Finding the Third Proportional to 13,840 and 21,466

Step by Step Solution

1. Step 1: Write the proportion equation
   13,840 : 21,466 = 21,466 : x
2. Step 2: Convert to fraction form
   13,840/21,466 = 21,466/x
3. Step 3: Cross multiply
   13,840x = 21,466 × 21,466
4. Step 4: Simplify right side
   13,840x = 460,789,156
5. Step 5: Solve for x
   x = 460,789,156/13,840
6. Step 6: Final answer
   x = 33,294.01