Finding the Third Proportional to 9,164 and 10,352

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164 : 10,352 = 10,352 : x
2. Step 2: Convert to fraction form
   9,164/10,352 = 10,352/x
3. Step 3: Cross multiply
   9,164x = 10,352 × 10,352
4. Step 4: Simplify right side
   9,164x = 107,163,904
5. Step 5: Solve for x
   x = 107,163,904/9,164
6. Step 6: Final answer
   x = 11,694.01