Finding the Third Proportional to 42,462 and 91,647

Step by Step Solution

1. Step 1: Write the proportion equation
   42,462 : 91,647 = 91,647 : x
2. Step 2: Convert to fraction form
   42,462/91,647 = 91,647/x
3. Step 3: Cross multiply
   42,462x = 91,647 × 91,647
4. Step 4: Simplify right side
   42,462x = 8,399,172,609
5. Step 5: Solve for x
   x = 8,399,172,609/42,462
6. Step 6: Final answer
   x = 197,804.45