Finding the Third Proportional to 16,404 and 26,078

Step by Step Solution

1. Step 1: Write the proportion equation
   16,404 : 26,078 = 26,078 : x
2. Step 2: Convert to fraction form
   16,404/26,078 = 26,078/x
3. Step 3: Cross multiply
   16,404x = 26,078 × 26,078
4. Step 4: Simplify right side
   16,404x = 680,062,084
5. Step 5: Solve for x
   x = 680,062,084/16,404
6. Step 6: Final answer
   x = 41,457.09