Finding the Third Proportional to 31,984 and 69,790

Step by Step Solution

1. Step 1: Write the proportion equation
   31,984 : 69,790 = 69,790 : x
2. Step 2: Convert to fraction form
   31,984/69,790 = 69,790/x
3. Step 3: Cross multiply
   31,984x = 69,790 × 69,790
4. Step 4: Simplify right side
   31,984x = 4,870,644,100
5. Step 5: Solve for x
   x = 4,870,644,100/31,984
6. Step 6: Final answer
   x = 152,283.77