Finding the Third Proportional to 6,896 and 16,034

Step by Step Solution

1. Step 1: Write the proportion equation
   6,896 : 16,034 = 16,034 : x
2. Step 2: Convert to fraction form
   6,896/16,034 = 16,034/x
3. Step 3: Cross multiply
   6,896x = 16,034 × 16,034
4. Step 4: Simplify right side
   6,896x = 257,089,156
5. Step 5: Solve for x
   x = 257,089,156/6,896
6. Step 6: Final answer
   x = 37,280.91