Finding the Third Proportional to 9,767 and 16,034

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767 : 16,034 = 16,034 : x
2. Step 2: Convert to fraction form
   9,767/16,034 = 16,034/x
3. Step 3: Cross multiply
   9,767x = 16,034 × 16,034
4. Step 4: Simplify right side
   9,767x = 257,089,156
5. Step 5: Solve for x
   x = 257,089,156/9,767
6. Step 6: Final answer
   x = 26,322.22