Finding the Third Proportional to 26,868 and 37,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,868 : 37,585.50 = 37,585.50 : x
2. Step 2: Convert to fraction form
   26,868/37,585.50 = 37,585.50/x
3. Step 3: Cross multiply
   26,868x = 37,585.50 × 37,585.50
4. Step 4: Simplify right side
   26,868x = 1,412,669,810.25
5. Step 5: Solve for x
   x = 1,412,669,810.25/26,868
6. Step 6: Final answer
   x = 52,578.15