Finding the Third Proportional to 9,716 and 13,106

Step by Step Solution

1. Step 1: Write the proportion equation
   9,716 : 13,106 = 13,106 : x
2. Step 2: Convert to fraction form
   9,716/13,106 = 13,106/x
3. Step 3: Cross multiply
   9,716x = 13,106 × 13,106
4. Step 4: Simplify right side
   9,716x = 171,767,236
5. Step 5: Solve for x
   x = 171,767,236/9,716
6. Step 6: Final answer
   x = 17,678.80