Finding the Third Proportional to 26,338 and 41,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,338 : 41,944.50 = 41,944.50 : x
2. Step 2: Convert to fraction form
   26,338/41,944.50 = 41,944.50/x
3. Step 3: Cross multiply
   26,338x = 41,944.50 × 41,944.50
4. Step 4: Simplify right side
   26,338x = 1,759,341,080.25
5. Step 5: Solve for x
   x = 1,759,341,080.25/26,338
6. Step 6: Final answer
   x = 66,798.58