Finding the Third Proportional to 31,961 and 69,753

Step by Step Solution

1. Step 1: Write the proportion equation
   31,961 : 69,753 = 69,753 : x
2. Step 2: Convert to fraction form
   31,961/69,753 = 69,753/x
3. Step 3: Cross multiply
   31,961x = 69,753 × 69,753
4. Step 4: Simplify right side
   31,961x = 4,865,481,009
5. Step 5: Solve for x
   x = 4,865,481,009/31,961
6. Step 6: Final answer
   x = 152,231.81