Finding the Third Proportional to 10,564 and 16,054

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 16,054 = 16,054 : x
2. Step 2: Convert to fraction form
   10,564/16,054 = 16,054/x
3. Step 3: Cross multiply
   10,564x = 16,054 × 16,054
4. Step 4: Simplify right side
   10,564x = 257,730,916
5. Step 5: Solve for x
   x = 257,730,916/10,564
6. Step 6: Final answer
   x = 24,397.10