Finding the Third Proportional to 26,528 and 41,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,528 : 41,406.50 = 41,406.50 : x
2. Step 2: Convert to fraction form
   26,528/41,406.50 = 41,406.50/x
3. Step 3: Cross multiply
   26,528x = 41,406.50 × 41,406.50
4. Step 4: Simplify right side
   26,528x = 1,714,498,242.25
5. Step 5: Solve for x
   x = 1,714,498,242.25/26,528
6. Step 6: Final answer
   x = 64,629.76