Finding the Third Proportional to 31,828 and 69,488

Step by Step Solution

1. Step 1: Write the proportion equation
   31,828 : 69,488 = 69,488 : x
2. Step 2: Convert to fraction form
   31,828/69,488 = 69,488/x
3. Step 3: Cross multiply
   31,828x = 69,488 × 69,488
4. Step 4: Simplify right side
   31,828x = 4,828,582,144
5. Step 5: Solve for x
   x = 4,828,582,144/31,828
6. Step 6: Final answer
   x = 151,708.63