Finding the Third Proportional to 13,700 and 21,404

Step by Step Solution

1. Step 1: Write the proportion equation
   13,700 : 21,404 = 21,404 : x
2. Step 2: Convert to fraction form
   13,700/21,404 = 21,404/x
3. Step 3: Cross multiply
   13,700x = 21,404 × 21,404
4. Step 4: Simplify right side
   13,700x = 458,131,216
5. Step 5: Solve for x
   x = 458,131,216/13,700
6. Step 6: Final answer
   x = 33,440.23