Finding the Third Proportional to 42,657 and 59,667

Step by Step Solution

1. Step 1: Write the proportion equation
   42,657 : 59,667 = 59,667 : x
2. Step 2: Convert to fraction form
   42,657/59,667 = 59,667/x
3. Step 3: Cross multiply
   42,657x = 59,667 × 59,667
4. Step 4: Simplify right side
   42,657x = 3,560,150,889
5. Step 5: Solve for x
   x = 3,560,150,889/42,657
6. Step 6: Final answer
   x = 83,459.95