Finding the Third Proportional to 13,746 and 21,321

Step by Step Solution

1. Step 1: Write the proportion equation
   13,746 : 21,321 = 21,321 : x
2. Step 2: Convert to fraction form
   13,746/21,321 = 21,321/x
3. Step 3: Cross multiply
   13,746x = 21,321 × 21,321
4. Step 4: Simplify right side
   13,746x = 454,585,041
5. Step 5: Solve for x
   x = 454,585,041/13,746
6. Step 6: Final answer
   x = 33,070.35