Finding the Third Proportional to 5,644 and 10,592

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644 : 10,592 = 10,592 : x
2. Step 2: Convert to fraction form
   5,644/10,592 = 10,592/x
3. Step 3: Cross multiply
   5,644x = 10,592 × 10,592
4. Step 4: Simplify right side
   5,644x = 112,190,464
5. Step 5: Solve for x
   x = 112,190,464/5,644
6. Step 6: Final answer
   x = 19,877.83