Finding the Third Proportional to 20,138 and 25,748

Step by Step Solution

1. Step 1: Write the proportion equation
   20,138 : 25,748 = 25,748 : x
2. Step 2: Convert to fraction form
   20,138/25,748 = 25,748/x
3. Step 3: Cross multiply
   20,138x = 25,748 × 25,748
4. Step 4: Simplify right side
   20,138x = 662,959,504
5. Step 5: Solve for x
   x = 662,959,504/20,138
6. Step 6: Final answer
   x = 32,920.82