Finding the Third Proportional to 26,509 and 41,222

Step by Step Solution

1. Step 1: Write the proportion equation
   26,509 : 41,222 = 41,222 : x
2. Step 2: Convert to fraction form
   26,509/41,222 = 41,222/x
3. Step 3: Cross multiply
   26,509x = 41,222 × 41,222
4. Step 4: Simplify right side
   26,509x = 1,699,253,284
5. Step 5: Solve for x
   x = 1,699,253,284/26,509
6. Step 6: Final answer
   x = 64,101.00