Finding the Third Proportional to 42,028 and 89,670

Step by Step Solution

1. Step 1: Write the proportion equation
   42,028 : 89,670 = 89,670 : x
2. Step 2: Convert to fraction form
   42,028/89,670 = 89,670/x
3. Step 3: Cross multiply
   42,028x = 89,670 × 89,670
4. Step 4: Simplify right side
   42,028x = 8,040,708,900
5. Step 5: Solve for x
   x = 8,040,708,900/42,028
6. Step 6: Final answer
   x = 191,317.90