Finding the Third Proportional to 42,446 and 65,667

Step by Step Solution

1. Step 1: Write the proportion equation
   42,446 : 65,667 = 65,667 : x
2. Step 2: Convert to fraction form
   42,446/65,667 = 65,667/x
3. Step 3: Cross multiply
   42,446x = 65,667 × 65,667
4. Step 4: Simplify right side
   42,446x = 4,312,154,889
5. Step 5: Solve for x
   x = 4,312,154,889/42,446
6. Step 6: Final answer
   x = 101,591.55