Finding the Third Proportional to 42,012 and 85,944

Step by Step Solution

1. Step 1: Write the proportion equation
   42,012 : 85,944 = 85,944 : x
2. Step 2: Convert to fraction form
   42,012/85,944 = 85,944/x
3. Step 3: Cross multiply
   42,012x = 85,944 × 85,944
4. Step 4: Simplify right side
   42,012x = 7,386,371,136
5. Step 5: Solve for x
   x = 7,386,371,136/42,012
6. Step 6: Final answer
   x = 175,815.75