Finding the Third Proportional to 42,365 and 83,667

Step by Step Solution

1. Step 1: Write the proportion equation
   42,365 : 83,667 = 83,667 : x
2. Step 2: Convert to fraction form
   42,365/83,667 = 83,667/x
3. Step 3: Cross multiply
   42,365x = 83,667 × 83,667
4. Step 4: Simplify right side
   42,365x = 7,000,166,889
5. Step 5: Solve for x
   x = 7,000,166,889/42,365
6. Step 6: Final answer
   x = 165,234.67