Finding the Third Proportional to 42,267 and 65,411

Step by Step Solution

1. Step 1: Write the proportion equation
   42,267 : 65,411 = 65,411 : x
2. Step 2: Convert to fraction form
   42,267/65,411 = 65,411/x
3. Step 3: Cross multiply
   42,267x = 65,411 × 65,411
4. Step 4: Simplify right side
   42,267x = 4,278,598,921
5. Step 5: Solve for x
   x = 4,278,598,921/42,267
6. Step 6: Final answer
   x = 101,227.88