Finding the Third Proportional to 26,701 and 37,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,701 : 37,559.50 = 37,559.50 : x
2. Step 2: Convert to fraction form
   26,701/37,559.50 = 37,559.50/x
3. Step 3: Cross multiply
   26,701x = 37,559.50 × 37,559.50
4. Step 4: Simplify right side
   26,701x = 1,410,716,040.25
5. Step 5: Solve for x
   x = 1,410,716,040.25/26,701
6. Step 6: Final answer
   x = 52,833.83