Finding the Third Proportional to 9,536 and 14,920

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 14,920 = 14,920 : x
2. Step 2: Convert to fraction form
   9,536/14,920 = 14,920/x
3. Step 3: Cross multiply
   9,536x = 14,920 × 14,920
4. Step 4: Simplify right side
   9,536x = 222,606,400
5. Step 5: Solve for x
   x = 222,606,400/9,536
6. Step 6: Final answer
   x = 23,343.79