Finding the Third Proportional to 9,380 and 22,634

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380 : 22,634 = 22,634 : x
2. Step 2: Convert to fraction form
   9,380/22,634 = 22,634/x
3. Step 3: Cross multiply
   9,380x = 22,634 × 22,634
4. Step 4: Simplify right side
   9,380x = 512,297,956
5. Step 5: Solve for x
   x = 512,297,956/9,380
6. Step 6: Final answer
   x = 54,615.99