Finding the Third Proportional to 17,688 and 38,144

Step by Step Solution

1. Step 1: Write the proportion equation
   17,688 : 38,144 = 38,144 : x
2. Step 2: Convert to fraction form
   17,688/38,144 = 38,144/x
3. Step 3: Cross multiply
   17,688x = 38,144 × 38,144
4. Step 4: Simplify right side
   17,688x = 1,454,964,736
5. Step 5: Solve for x
   x = 1,454,964,736/17,688
6. Step 6: Final answer
   x = 82,257.17