Finding the Third Proportional to 26,424 and 35,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,424 : 35,989.50 = 35,989.50 : x
2. Step 2: Convert to fraction form
   26,424/35,989.50 = 35,989.50/x
3. Step 3: Cross multiply
   26,424x = 35,989.50 × 35,989.50
4. Step 4: Simplify right side
   26,424x = 1,295,244,110.25
5. Step 5: Solve for x
   x = 1,295,244,110.25/26,424
6. Step 6: Final answer
   x = 49,017.72