Finding the Third Proportional to 42,008 and 85,936

Step by Step Solution

1. Step 1: Write the proportion equation
   42,008 : 85,936 = 85,936 : x
2. Step 2: Convert to fraction form
   42,008/85,936 = 85,936/x
3. Step 3: Cross multiply
   42,008x = 85,936 × 85,936
4. Step 4: Simplify right side
   42,008x = 7,384,996,096
5. Step 5: Solve for x
   x = 7,384,996,096/42,008
6. Step 6: Final answer
   x = 175,799.75