Finding the Third Proportional to 9,094 and 10,282

Step by Step Solution

1. Step 1: Write the proportion equation
   9,094 : 10,282 = 10,282 : x
2. Step 2: Convert to fraction form
   9,094/10,282 = 10,282/x
3. Step 3: Cross multiply
   9,094x = 10,282 × 10,282
4. Step 4: Simplify right side
   9,094x = 105,719,524
5. Step 5: Solve for x
   x = 105,719,524/9,094
6. Step 6: Final answer
   x = 11,625.20