Finding the Third Proportional to 42,038 and 86,020

Step by Step Solution

1. Step 1: Write the proportion equation
   42,038 : 86,020 = 86,020 : x
2. Step 2: Convert to fraction form
   42,038/86,020 = 86,020/x
3. Step 3: Cross multiply
   42,038x = 86,020 × 86,020
4. Step 4: Simplify right side
   42,038x = 7,399,440,400
5. Step 5: Solve for x
   x = 7,399,440,400/42,038
6. Step 6: Final answer
   x = 176,017.90