Finding the Third Proportional to 42,024 and 89,664

Step by Step Solution

1. Step 1: Write the proportion equation
   42,024 : 89,664 = 89,664 : x
2. Step 2: Convert to fraction form
   42,024/89,664 = 89,664/x
3. Step 3: Cross multiply
   42,024x = 89,664 × 89,664
4. Step 4: Simplify right side
   42,024x = 8,039,632,896
5. Step 5: Solve for x
   x = 8,039,632,896/42,024
6. Step 6: Final answer
   x = 191,310.51