Finding the Third Proportional to 41,752 and 89,576

Step by Step Solution

1. Step 1: Write the proportion equation
   41,752 : 89,576 = 89,576 : x
2. Step 2: Convert to fraction form
   41,752/89,576 = 89,576/x
3. Step 3: Cross multiply
   41,752x = 89,576 × 89,576
4. Step 4: Simplify right side
   41,752x = 8,023,859,776
5. Step 5: Solve for x
   x = 8,023,859,776/41,752
6. Step 6: Final answer
   x = 192,179.05