Finding the Third Proportional to 2,272 and 4,838

Step by Step Solution

1. Step 1: Write the proportion equation
   2,272 : 4,838 = 4,838 : x
2. Step 2: Convert to fraction form
   2,272/4,838 = 4,838/x
3. Step 3: Cross multiply
   2,272x = 4,838 × 4,838
4. Step 4: Simplify right side
   2,272x = 23,406,244
5. Step 5: Solve for x
   x = 23,406,244/2,272
6. Step 6: Final answer
   x = 10,302.04