Finding the Third Proportional to 21,894 and 33,970

Step by Step Solution

1. Step 1: Write the proportion equation
   21,894 : 33,970 = 33,970 : x
2. Step 2: Convert to fraction form
   21,894/33,970 = 33,970/x
3. Step 3: Cross multiply
   21,894x = 33,970 × 33,970
4. Step 4: Simplify right side
   21,894x = 1,153,960,900
5. Step 5: Solve for x
   x = 1,153,960,900/21,894
6. Step 6: Final answer
   x = 52,706.72