Finding the Third Proportional to 10,038 and 16,034

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038 : 16,034 = 16,034 : x
2. Step 2: Convert to fraction form
   10,038/16,034 = 16,034/x
3. Step 3: Cross multiply
   10,038x = 16,034 × 16,034
4. Step 4: Simplify right side
   10,038x = 257,089,156
5. Step 5: Solve for x
   x = 257,089,156/10,038
6. Step 6: Final answer
   x = 25,611.59