Finding the Third Proportional to 26,075 and 37,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,075 : 37,365.50 = 37,365.50 : x
2. Step 2: Convert to fraction form
   26,075/37,365.50 = 37,365.50/x
3. Step 3: Cross multiply
   26,075x = 37,365.50 × 37,365.50
4. Step 4: Simplify right side
   26,075x = 1,396,180,590.25
5. Step 5: Solve for x
   x = 1,396,180,590.25/26,075
6. Step 6: Final answer
   x = 53,544.80