Finding the Third Proportional to 48,005 and 72,670

Step by Step Solution

1. Step 1: Write the proportion equation
   48,005 : 72,670 = 72,670 : x
2. Step 2: Convert to fraction form
   48,005/72,670 = 72,670/x
3. Step 3: Cross multiply
   48,005x = 72,670 × 72,670
4. Step 4: Simplify right side
   48,005x = 5,280,928,900
5. Step 5: Solve for x
   x = 5,280,928,900/48,005
6. Step 6: Final answer
   x = 110,007.89