Finding the Third Proportional to 31,999 and 69,582

Step by Step Solution

1. Step 1: Write the proportion equation
   31,999 : 69,582 = 69,582 : x
2. Step 2: Convert to fraction form
   31,999/69,582 = 69,582/x
3. Step 3: Cross multiply
   31,999x = 69,582 × 69,582
4. Step 4: Simplify right side
   31,999x = 4,841,654,724
5. Step 5: Solve for x
   x = 4,841,654,724/31,999
6. Step 6: Final answer
   x = 151,306.44