Finding the Third Proportional to 41,472 and 89,964

Step by Step Solution

1. Step 1: Write the proportion equation
   41,472 : 89,964 = 89,964 : x
2. Step 2: Convert to fraction form
   41,472/89,964 = 89,964/x
3. Step 3: Cross multiply
   41,472x = 89,964 × 89,964
4. Step 4: Simplify right side
   41,472x = 8,093,521,296
5. Step 5: Solve for x
   x = 8,093,521,296/41,472
6. Step 6: Final answer
   x = 195,156.28