Finding the Third Proportional to 16,906 and 39,142

Step by Step Solution

1. Step 1: Write the proportion equation
   16,906 : 39,142 = 39,142 : x
2. Step 2: Convert to fraction form
   16,906/39,142 = 39,142/x
3. Step 3: Cross multiply
   16,906x = 39,142 × 39,142
4. Step 4: Simplify right side
   16,906x = 1,532,096,164
5. Step 5: Solve for x
   x = 1,532,096,164/16,906
6. Step 6: Final answer
   x = 90,624.40