Finding the Third Proportional to 5,644 and 13,054

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644 : 13,054 = 13,054 : x
2. Step 2: Convert to fraction form
   5,644/13,054 = 13,054/x
3. Step 3: Cross multiply
   5,644x = 13,054 × 13,054
4. Step 4: Simplify right side
   5,644x = 170,406,916
5. Step 5: Solve for x
   x = 170,406,916/5,644
6. Step 6: Final answer
   x = 30,192.58