Finding the Third Proportional to 31,161 and 67,580

Step by Step Solution

1. Step 1: Write the proportion equation
   31,161 : 67,580 = 67,580 : x
2. Step 2: Convert to fraction form
   31,161/67,580 = 67,580/x
3. Step 3: Cross multiply
   31,161x = 67,580 × 67,580
4. Step 4: Simplify right side
   31,161x = 4,567,056,400
5. Step 5: Solve for x
   x = 4,567,056,400/31,161
6. Step 6: Final answer
   x = 146,563.22