Finding the Third Proportional to 17,462 and 38,164

Step by Step Solution

1. Step 1: Write the proportion equation
   17,462 : 38,164 = 38,164 : x
2. Step 2: Convert to fraction form
   17,462/38,164 = 38,164/x
3. Step 3: Cross multiply
   17,462x = 38,164 × 38,164
4. Step 4: Simplify right side
   17,462x = 1,456,490,896
5. Step 5: Solve for x
   x = 1,456,490,896/17,462
6. Step 6: Final answer
   x = 83,409.17