Finding the Third Proportional to 10,564 and 19,778

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 19,778 = 19,778 : x
2. Step 2: Convert to fraction form
   10,564/19,778 = 19,778/x
3. Step 3: Cross multiply
   10,564x = 19,778 × 19,778
4. Step 4: Simplify right side
   10,564x = 391,169,284
5. Step 5: Solve for x
   x = 391,169,284/10,564
6. Step 6: Final answer
   x = 37,028.52