Finding the Third Proportional to 26,824 and 59,003

Step by Step Solution

1. Step 1: Write the proportion equation
   26,824 : 59,003 = 59,003 : x
2. Step 2: Convert to fraction form
   26,824/59,003 = 59,003/x
3. Step 3: Cross multiply
   26,824x = 59,003 × 59,003
4. Step 4: Simplify right side
   26,824x = 3,481,354,009
5. Step 5: Solve for x
   x = 3,481,354,009/26,824
6. Step 6: Final answer
   x = 129,785.04