Finding the Third Proportional to 40,765 and 89,003

Step by Step Solution

1. Step 1: Write the proportion equation
   40,765 : 89,003 = 89,003 : x
2. Step 2: Convert to fraction form
   40,765/89,003 = 89,003/x
3. Step 3: Cross multiply
   40,765x = 89,003 × 89,003
4. Step 4: Simplify right side
   40,765x = 7,921,534,009
5. Step 5: Solve for x
   x = 7,921,534,009/40,765
6. Step 6: Final answer
   x = 194,321.94