Finding the Third Proportional to 9,186 and 10,194

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186 : 10,194 = 10,194 : x
2. Step 2: Convert to fraction form
   9,186/10,194 = 10,194/x
3. Step 3: Cross multiply
   9,186x = 10,194 × 10,194
4. Step 4: Simplify right side
   9,186x = 103,917,636
5. Step 5: Solve for x
   x = 103,917,636/9,186
6. Step 6: Final answer
   x = 11,312.61