Finding the Third Proportional to 42,271 and 65,417

Step by Step Solution

1. Step 1: Write the proportion equation
   42,271 : 65,417 = 65,417 : x
2. Step 2: Convert to fraction form
   42,271/65,417 = 65,417/x
3. Step 3: Cross multiply
   42,271x = 65,417 × 65,417
4. Step 4: Simplify right side
   42,271x = 4,279,383,889
5. Step 5: Solve for x
   x = 4,279,383,889/42,271
6. Step 6: Final answer
   x = 101,236.87