Finding the Third Proportional to 26,614 and 37,005

Step by Step Solution

1. Step 1: Write the proportion equation
   26,614 : 37,005 = 37,005 : x
2. Step 2: Convert to fraction form
   26,614/37,005 = 37,005/x
3. Step 3: Cross multiply
   26,614x = 37,005 × 37,005
4. Step 4: Simplify right side
   26,614x = 1,369,370,025
5. Step 5: Solve for x
   x = 1,369,370,025/26,614
6. Step 6: Final answer
   x = 51,453.00