Finding the Third Proportional to 42,846 and 67,004

Step by Step Solution

1. Step 1: Write the proportion equation
   42,846 : 67,004 = 67,004 : x
2. Step 2: Convert to fraction form
   42,846/67,004 = 67,004/x
3. Step 3: Cross multiply
   42,846x = 67,004 × 67,004
4. Step 4: Simplify right side
   42,846x = 4,489,536,016
5. Step 5: Solve for x
   x = 4,489,536,016/42,846
6. Step 6: Final answer
   x = 104,783.08