Finding the Third Proportional to 31,802 and 69,071

Step by Step Solution

1. Step 1: Write the proportion equation
   31,802 : 69,071 = 69,071 : x
2. Step 2: Convert to fraction form
   31,802/69,071 = 69,071/x
3. Step 3: Cross multiply
   31,802x = 69,071 × 69,071
4. Step 4: Simplify right side
   31,802x = 4,770,803,041
5. Step 5: Solve for x
   x = 4,770,803,041/31,802
6. Step 6: Final answer
   x = 150,015.82