Finding the Third Proportional to 26,017.50 and 37,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   26,017.50 : 37,178.25 = 37,178.25 : x
2. Step 2: Convert to fraction form
   26,017.50/37,178.25 = 37,178.25/x
3. Step 3: Cross multiply
   26,017.50x = 37,178.25 × 37,178.25
4. Step 4: Simplify right side
   26,017.50x = 1,382,222,273.06
5. Step 5: Solve for x
   x = 1,382,222,273.06/26,017.50
6. Step 6: Final answer
   x = 53,126.64