Finding the Third Proportional to 31,740 and 64,936

Step by Step Solution

1. Step 1: Write the proportion equation
   31,740 : 64,936 = 64,936 : x
2. Step 2: Convert to fraction form
   31,740/64,936 = 64,936/x
3. Step 3: Cross multiply
   31,740x = 64,936 × 64,936
4. Step 4: Simplify right side
   31,740x = 4,216,684,096
5. Step 5: Solve for x
   x = 4,216,684,096/31,740
6. Step 6: Final answer
   x = 132,850.79