Finding the Third Proportional to 31,790 and 69,804

Step by Step Solution

1. Step 1: Write the proportion equation
   31,790 : 69,804 = 69,804 : x
2. Step 2: Convert to fraction form
   31,790/69,804 = 69,804/x
3. Step 3: Cross multiply
   31,790x = 69,804 × 69,804
4. Step 4: Simplify right side
   31,790x = 4,872,598,416
5. Step 5: Solve for x
   x = 4,872,598,416/31,790
6. Step 6: Final answer
   x = 153,274.56