Finding the Third Proportional to 31,756 and 64,964

Step by Step Solution

1. Step 1: Write the proportion equation
   31,756 : 64,964 = 64,964 : x
2. Step 2: Convert to fraction form
   31,756/64,964 = 64,964/x
3. Step 3: Cross multiply
   31,756x = 64,964 × 64,964
4. Step 4: Simplify right side
   31,756x = 4,220,321,296
5. Step 5: Solve for x
   x = 4,220,321,296/31,756
6. Step 6: Final answer
   x = 132,898.39