Finding the Third Proportional to 38,205 and 83,682

Step by Step Solution

1. Step 1: Write the proportion equation
   38,205 : 83,682 = 83,682 : x
2. Step 2: Convert to fraction form
   38,205/83,682 = 83,682/x
3. Step 3: Cross multiply
   38,205x = 83,682 × 83,682
4. Step 4: Simplify right side
   38,205x = 7,002,677,124
5. Step 5: Solve for x
   x = 7,002,677,124/38,205
6. Step 6: Final answer
   x = 183,292.16