Finding the Third Proportional to 42,015 and 89,679

Step by Step Solution

1. Step 1: Write the proportion equation
   42,015 : 89,679 = 89,679 : x
2. Step 2: Convert to fraction form
   42,015/89,679 = 89,679/x
3. Step 3: Cross multiply
   42,015x = 89,679 × 89,679
4. Step 4: Simplify right side
   42,015x = 8,042,323,041
5. Step 5: Solve for x
   x = 8,042,323,041/42,015
6. Step 6: Final answer
   x = 191,415.52