Finding the Third Proportional to 39,010 and 83,945

Step by Step Solution

1. Step 1: Write the proportion equation
   39,010 : 83,945 = 83,945 : x
2. Step 2: Convert to fraction form
   39,010/83,945 = 83,945/x
3. Step 3: Cross multiply
   39,010x = 83,945 × 83,945
4. Step 4: Simplify right side
   39,010x = 7,046,763,025
5. Step 5: Solve for x
   x = 7,046,763,025/39,010
6. Step 6: Final answer
   x = 180,639.91