Finding the Third Proportional to 41,659 and 89,972

Step by Step Solution

1. Step 1: Write the proportion equation
   41,659 : 89,972 = 89,972 : x
2. Step 2: Convert to fraction form
   41,659/89,972 = 89,972/x
3. Step 3: Cross multiply
   41,659x = 89,972 × 89,972
4. Step 4: Simplify right side
   41,659x = 8,094,960,784
5. Step 5: Solve for x
   x = 8,094,960,784/41,659
6. Step 6: Final answer
   x = 194,314.81