Finding the Third Proportional to 31,946 and 69,469

Step by Step Solution

1. Step 1: Write the proportion equation
   31,946 : 69,469 = 69,469 : x
2. Step 2: Convert to fraction form
   31,946/69,469 = 69,469/x
3. Step 3: Cross multiply
   31,946x = 69,469 × 69,469
4. Step 4: Simplify right side
   31,946x = 4,825,941,961
5. Step 5: Solve for x
   x = 4,825,941,961/31,946
6. Step 6: Final answer
   x = 151,065.61