Finding the Third Proportional to 10,072 and 13,124

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 13,124 = 13,124 : x
2. Step 2: Convert to fraction form
   10,072/13,124 = 13,124/x
3. Step 3: Cross multiply
   10,072x = 13,124 × 13,124
4. Step 4: Simplify right side
   10,072x = 172,239,376
5. Step 5: Solve for x
   x = 172,239,376/10,072
6. Step 6: Final answer
   x = 17,100.81