Finding the Third Proportional to 9,238.50 and 21,204

Step by Step Solution

1. Step 1: Write the proportion equation
   9,238.50 : 21,204 = 21,204 : x
2. Step 2: Convert to fraction form
   9,238.50/21,204 = 21,204/x
3. Step 3: Cross multiply
   9,238.50x = 21,204 × 21,204
4. Step 4: Simplify right side
   9,238.50x = 449,609,616
5. Step 5: Solve for x
   x = 449,609,616/9,238.50
6. Step 6: Final answer
   x = 48,666.95