Finding the Third Proportional to 31,633 and 64,845

Step by Step Solution

1. Step 1: Write the proportion equation
   31,633 : 64,845 = 64,845 : x
2. Step 2: Convert to fraction form
   31,633/64,845 = 64,845/x
3. Step 3: Cross multiply
   31,633x = 64,845 × 64,845
4. Step 4: Simplify right side
   31,633x = 4,204,874,025
5. Step 5: Solve for x
   x = 4,204,874,025/31,633
6. Step 6: Final answer
   x = 132,926.82