Finding the Third Proportional to 20,564 and 32,694

Step by Step Solution

1. Step 1: Write the proportion equation
   20,564 : 32,694 = 32,694 : x
2. Step 2: Convert to fraction form
   20,564/32,694 = 32,694/x
3. Step 3: Cross multiply
   20,564x = 32,694 × 32,694
4. Step 4: Simplify right side
   20,564x = 1,068,897,636
5. Step 5: Solve for x
   x = 1,068,897,636/20,564
6. Step 6: Final answer
   x = 51,979.07