Finding the Third Proportional to 42,003 and 65,561

Step by Step Solution

1. Step 1: Write the proportion equation
   42,003 : 65,561 = 65,561 : x
2. Step 2: Convert to fraction form
   42,003/65,561 = 65,561/x
3. Step 3: Cross multiply
   42,003x = 65,561 × 65,561
4. Step 4: Simplify right side
   42,003x = 4,298,244,721
5. Step 5: Solve for x
   x = 4,298,244,721/42,003
6. Step 6: Final answer
   x = 102,331.85