Finding the Third Proportional to 31,968 and 69,767

Step by Step Solution

1. Step 1: Write the proportion equation
   31,968 : 69,767 = 69,767 : x
2. Step 2: Convert to fraction form
   31,968/69,767 = 69,767/x
3. Step 3: Cross multiply
   31,968x = 69,767 × 69,767
4. Step 4: Simplify right side
   31,968x = 4,867,434,289
5. Step 5: Solve for x
   x = 4,867,434,289/31,968
6. Step 6: Final answer
   x = 152,259.58