Finding the Third Proportional to 31,580 and 73,116

Step by Step Solution

1. Step 1: Write the proportion equation
   31,580 : 73,116 = 73,116 : x
2. Step 2: Convert to fraction form
   31,580/73,116 = 73,116/x
3. Step 3: Cross multiply
   31,580x = 73,116 × 73,116
4. Step 4: Simplify right side
   31,580x = 5,345,949,456
5. Step 5: Solve for x
   x = 5,345,949,456/31,580
6. Step 6: Final answer
   x = 169,282.76