Finding the Third Proportional to 31,231 and 64,262

Step by Step Solution

1. Step 1: Write the proportion equation
   31,231 : 64,262 = 64,262 : x
2. Step 2: Convert to fraction form
   31,231/64,262 = 64,262/x
3. Step 3: Cross multiply
   31,231x = 64,262 × 64,262
4. Step 4: Simplify right side
   31,231x = 4,129,604,644
5. Step 5: Solve for x
   x = 4,129,604,644/31,231
6. Step 6: Final answer
   x = 132,227.74