Finding the Third Proportional to 38,236 and 83,384

Step by Step Solution

1. Step 1: Write the proportion equation
   38,236 : 83,384 = 83,384 : x
2. Step 2: Convert to fraction form
   38,236/83,384 = 83,384/x
3. Step 3: Cross multiply
   38,236x = 83,384 × 83,384
4. Step 4: Simplify right side
   38,236x = 6,952,891,456
5. Step 5: Solve for x
   x = 6,952,891,456/38,236
6. Step 6: Final answer
   x = 181,841.50