Finding the Third Proportional to 26,559 and 37,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,559 : 37,222.50 = 37,222.50 : x
2. Step 2: Convert to fraction form
   26,559/37,222.50 = 37,222.50/x
3. Step 3: Cross multiply
   26,559x = 37,222.50 × 37,222.50
4. Step 4: Simplify right side
   26,559x = 1,385,514,506.25
5. Step 5: Solve for x
   x = 1,385,514,506.25/26,559
6. Step 6: Final answer
   x = 52,167.42