Finding the Third Proportional to 11,678.50 and 18,064

Step by Step Solution

1. Step 1: Write the proportion equation
   11,678.50 : 18,064 = 18,064 : x
2. Step 2: Convert to fraction form
   11,678.50/18,064 = 18,064/x
3. Step 3: Cross multiply
   11,678.50x = 18,064 × 18,064
4. Step 4: Simplify right side
   11,678.50x = 326,308,096
5. Step 5: Solve for x
   x = 326,308,096/11,678.50
6. Step 6: Final answer
   x = 27,940.93