Finding the Third Proportional to 10,185 and 22,476

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185 : 22,476 = 22,476 : x
2. Step 2: Convert to fraction form
   10,185/22,476 = 22,476/x
3. Step 3: Cross multiply
   10,185x = 22,476 × 22,476
4. Step 4: Simplify right side
   10,185x = 505,170,576
5. Step 5: Solve for x
   x = 505,170,576/10,185
6. Step 6: Final answer
   x = 49,599.47