Finding the Third Proportional to 34,002 and 73,840

Step by Step Solution

1. Step 1: Write the proportion equation
   34,002 : 73,840 = 73,840 : x
2. Step 2: Convert to fraction form
   34,002/73,840 = 73,840/x
3. Step 3: Cross multiply
   34,002x = 73,840 × 73,840
4. Step 4: Simplify right side
   34,002x = 5,452,345,600
5. Step 5: Solve for x
   x = 5,452,345,600/34,002
6. Step 6: Final answer
   x = 160,353.67