Finding the Third Proportional to 26,739 and 41,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,739 : 41,587.50 = 41,587.50 : x
2. Step 2: Convert to fraction form
   26,739/41,587.50 = 41,587.50/x
3. Step 3: Cross multiply
   26,739x = 41,587.50 × 41,587.50
4. Step 4: Simplify right side
   26,739x = 1,729,520,156.25
5. Step 5: Solve for x
   x = 1,729,520,156.25/26,739
6. Step 6: Final answer
   x = 64,681.56