Finding the Third Proportional to 26,385 and 35,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,385 : 35,809.50 = 35,809.50 : x
2. Step 2: Convert to fraction form
   26,385/35,809.50 = 35,809.50/x
3. Step 3: Cross multiply
   26,385x = 35,809.50 × 35,809.50
4. Step 4: Simplify right side
   26,385x = 1,282,320,290.25
5. Step 5: Solve for x
   x = 1,282,320,290.25/26,385
6. Step 6: Final answer
   x = 48,600.35