Finding the Third Proportional to 10,598 and 16,034

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598 : 16,034 = 16,034 : x
2. Step 2: Convert to fraction form
   10,598/16,034 = 16,034/x
3. Step 3: Cross multiply
   10,598x = 16,034 × 16,034
4. Step 4: Simplify right side
   10,598x = 257,089,156
5. Step 5: Solve for x
   x = 257,089,156/10,598
6. Step 6: Final answer
   x = 24,258.27