Finding the Third Proportional to 31,221 and 67,984

Step by Step Solution

1. Step 1: Write the proportion equation
   31,221 : 67,984 = 67,984 : x
2. Step 2: Convert to fraction form
   31,221/67,984 = 67,984/x
3. Step 3: Cross multiply
   31,221x = 67,984 × 67,984
4. Step 4: Simplify right side
   31,221x = 4,621,824,256
5. Step 5: Solve for x
   x = 4,621,824,256/31,221
6. Step 6: Final answer
   x = 148,035.75