Finding the Third Proportional to 31,983 and 69,789

Step by Step Solution

1. Step 1: Write the proportion equation
   31,983 : 69,789 = 69,789 : x
2. Step 2: Convert to fraction form
   31,983/69,789 = 69,789/x
3. Step 3: Cross multiply
   31,983x = 69,789 × 69,789
4. Step 4: Simplify right side
   31,983x = 4,870,504,521
5. Step 5: Solve for x
   x = 4,870,504,521/31,983
6. Step 6: Final answer
   x = 152,284.17