Finding the Third Proportional to 31,341 and 65,274

Step by Step Solution

1. Step 1: Write the proportion equation
   31,341 : 65,274 = 65,274 : x
2. Step 2: Convert to fraction form
   31,341/65,274 = 65,274/x
3. Step 3: Cross multiply
   31,341x = 65,274 × 65,274
4. Step 4: Simplify right side
   31,341x = 4,260,695,076
5. Step 5: Solve for x
   x = 4,260,695,076/31,341
6. Step 6: Final answer
   x = 135,946.37