Finding the Third Proportional to 38,906 and 83,956

Step by Step Solution

1. Step 1: Write the proportion equation
   38,906 : 83,956 = 83,956 : x
2. Step 2: Convert to fraction form
   38,906/83,956 = 83,956/x
3. Step 3: Cross multiply
   38,906x = 83,956 × 83,956
4. Step 4: Simplify right side
   38,906x = 7,048,609,936
5. Step 5: Solve for x
   x = 7,048,609,936/38,906
6. Step 6: Final answer
   x = 181,170.25