Finding the Third Proportional to 38,164 and 83,116

Step by Step Solution

1. Step 1: Write the proportion equation
   38,164 : 83,116 = 83,116 : x
2. Step 2: Convert to fraction form
   38,164/83,116 = 83,116/x
3. Step 3: Cross multiply
   38,164x = 83,116 × 83,116
4. Step 4: Simplify right side
   38,164x = 6,908,269,456
5. Step 5: Solve for x
   x = 6,908,269,456/38,164
6. Step 6: Final answer
   x = 181,015.34