Finding the Third Proportional to 11,800 and 16,034

Step by Step Solution

1. Step 1: Write the proportion equation
   11,800 : 16,034 = 16,034 : x
2. Step 2: Convert to fraction form
   11,800/16,034 = 16,034/x
3. Step 3: Cross multiply
   11,800x = 16,034 × 16,034
4. Step 4: Simplify right side
   11,800x = 257,089,156
5. Step 5: Solve for x
   x = 257,089,156/11,800
6. Step 6: Final answer
   x = 21,787.22