Finding the Third Proportional to 31,329 and 64,733

Step by Step Solution

1. Step 1: Write the proportion equation
   31,329 : 64,733 = 64,733 : x
2. Step 2: Convert to fraction form
   31,329/64,733 = 64,733/x
3. Step 3: Cross multiply
   31,329x = 64,733 × 64,733
4. Step 4: Simplify right side
   31,329x = 4,190,361,289
5. Step 5: Solve for x
   x = 4,190,361,289/31,329
6. Step 6: Final answer
   x = 133,753.43