Finding the Third Proportional to 17,642 and 38,164

Step by Step Solution

1. Step 1: Write the proportion equation
   17,642 : 38,164 = 38,164 : x
2. Step 2: Convert to fraction form
   17,642/38,164 = 38,164/x
3. Step 3: Cross multiply
   17,642x = 38,164 × 38,164
4. Step 4: Simplify right side
   17,642x = 1,456,490,896
5. Step 5: Solve for x
   x = 1,456,490,896/17,642
6. Step 6: Final answer
   x = 82,558.15