Finding the Third Proportional to 38,608 and 83,858

Step by Step Solution

1. Step 1: Write the proportion equation
   38,608 : 83,858 = 83,858 : x
2. Step 2: Convert to fraction form
   38,608/83,858 = 83,858/x
3. Step 3: Cross multiply
   38,608x = 83,858 × 83,858
4. Step 4: Simplify right side
   38,608x = 7,032,164,164
5. Step 5: Solve for x
   x = 7,032,164,164/38,608
6. Step 6: Final answer
   x = 182,142.67