Finding the Third Proportional to 5,420 and 10,072

Step by Step Solution

1. Step 1: Write the proportion equation
   5,420 : 10,072 = 10,072 : x
2. Step 2: Convert to fraction form
   5,420/10,072 = 10,072/x
3. Step 3: Cross multiply
   5,420x = 10,072 × 10,072
4. Step 4: Simplify right side
   5,420x = 101,445,184
5. Step 5: Solve for x
   x = 101,445,184/5,420
6. Step 6: Final answer
   x = 18,716.82