Finding the Third Proportional to 34,670 and 72,006

Step by Step Solution

1. Step 1: Write the proportion equation
   34,670 : 72,006 = 72,006 : x
2. Step 2: Convert to fraction form
   34,670/72,006 = 72,006/x
3. Step 3: Cross multiply
   34,670x = 72,006 × 72,006
4. Step 4: Simplify right side
   34,670x = 5,184,864,036
5. Step 5: Solve for x
   x = 5,184,864,036/34,670
6. Step 6: Final answer
   x = 149,549.01