Finding the Third Proportional to 13,240 and 31,828

Step by Step Solution

1. Step 1: Write the proportion equation
   13,240 : 31,828 = 31,828 : x
2. Step 2: Convert to fraction form
   13,240/31,828 = 31,828/x
3. Step 3: Cross multiply
   13,240x = 31,828 × 31,828
4. Step 4: Simplify right side
   13,240x = 1,013,021,584
5. Step 5: Solve for x
   x = 1,013,021,584/13,240
6. Step 6: Final answer
   x = 76,512.20