Finding the Third Proportional to 5,440 and 10,088

Step by Step Solution

1. Step 1: Write the proportion equation
   5,440 : 10,088 = 10,088 : x
2. Step 2: Convert to fraction form
   5,440/10,088 = 10,088/x
3. Step 3: Cross multiply
   5,440x = 10,088 × 10,088
4. Step 4: Simplify right side
   5,440x = 101,767,744
5. Step 5: Solve for x
   x = 101,767,744/5,440
6. Step 6: Final answer
   x = 18,707.31