Finding the Third Proportional to 26,619 and 41,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,619 : 41,758.50 = 41,758.50 : x
2. Step 2: Convert to fraction form
   26,619/41,758.50 = 41,758.50/x
3. Step 3: Cross multiply
   26,619x = 41,758.50 × 41,758.50
4. Step 4: Simplify right side
   26,619x = 1,743,772,322.25
5. Step 5: Solve for x
   x = 1,743,772,322.25/26,619
6. Step 6: Final answer
   x = 65,508.56