Finding the Third Proportional to 31,010 and 64,644

Step by Step Solution

1. Step 1: Write the proportion equation
   31,010 : 64,644 = 64,644 : x
2. Step 2: Convert to fraction form
   31,010/64,644 = 64,644/x
3. Step 3: Cross multiply
   31,010x = 64,644 × 64,644
4. Step 4: Simplify right side
   31,010x = 4,178,846,736
5. Step 5: Solve for x
   x = 4,178,846,736/31,010
6. Step 6: Final answer
   x = 134,758.04