Finding the Third Proportional to 17,644 and 38,168

Step by Step Solution

1. Step 1: Write the proportion equation
   17,644 : 38,168 = 38,168 : x
2. Step 2: Convert to fraction form
   17,644/38,168 = 38,168/x
3. Step 3: Cross multiply
   17,644x = 38,168 × 38,168
4. Step 4: Simplify right side
   17,644x = 1,456,796,224
5. Step 5: Solve for x
   x = 1,456,796,224/17,644
6. Step 6: Final answer
   x = 82,566.10