Finding the Third Proportional to 31,796 and 69,059

Step by Step Solution

1. Step 1: Write the proportion equation
   31,796 : 69,059 = 69,059 : x
2. Step 2: Convert to fraction form
   31,796/69,059 = 69,059/x
3. Step 3: Cross multiply
   31,796x = 69,059 × 69,059
4. Step 4: Simplify right side
   31,796x = 4,769,145,481
5. Step 5: Solve for x
   x = 4,769,145,481/31,796
6. Step 6: Final answer
   x = 149,992.00