Finding the Third Proportional to 10,406 and 13,501

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406 : 13,501 = 13,501 : x
2. Step 2: Convert to fraction form
   10,406/13,501 = 13,501/x
3. Step 3: Cross multiply
   10,406x = 13,501 × 13,501
4. Step 4: Simplify right side
   10,406x = 182,277,001
5. Step 5: Solve for x
   x = 182,277,001/10,406
6. Step 6: Final answer
   x = 17,516.53