Finding the Third Proportional to 17,858 and 38,308

Step by Step Solution

1. Step 1: Write the proportion equation
   17,858 : 38,308 = 38,308 : x
2. Step 2: Convert to fraction form
   17,858/38,308 = 38,308/x
3. Step 3: Cross multiply
   17,858x = 38,308 × 38,308
4. Step 4: Simplify right side
   17,858x = 1,467,502,864
5. Step 5: Solve for x
   x = 1,467,502,864/17,858
6. Step 6: Final answer
   x = 82,176.22