Finding the Third Proportional to 31,960 and 69,751

Step by Step Solution

1. Step 1: Write the proportion equation
   31,960 : 69,751 = 69,751 : x
2. Step 2: Convert to fraction form
   31,960/69,751 = 69,751/x
3. Step 3: Cross multiply
   31,960x = 69,751 × 69,751
4. Step 4: Simplify right side
   31,960x = 4,865,202,001
5. Step 5: Solve for x
   x = 4,865,202,001/31,960
6. Step 6: Final answer
   x = 152,227.85