Finding the Third Proportional to 38,362 and 83,698

Step by Step Solution

1. Step 1: Write the proportion equation
   38,362 : 83,698 = 83,698 : x
2. Step 2: Convert to fraction form
   38,362/83,698 = 83,698/x
3. Step 3: Cross multiply
   38,362x = 83,698 × 83,698
4. Step 4: Simplify right side
   38,362x = 7,005,355,204
5. Step 5: Solve for x
   x = 7,005,355,204/38,362
6. Step 6: Final answer
   x = 182,611.83