Finding the Third Proportional to 42,367 and 83,669

Step by Step Solution

1. Step 1: Write the proportion equation
   42,367 : 83,669 = 83,669 : x
2. Step 2: Convert to fraction form
   42,367/83,669 = 83,669/x
3. Step 3: Cross multiply
   42,367x = 83,669 × 83,669
4. Step 4: Simplify right side
   42,367x = 7,000,501,561
5. Step 5: Solve for x
   x = 7,000,501,561/42,367
6. Step 6: Final answer
   x = 165,234.77