Finding the Third Proportional to 16,178 and 25,726

Step by Step Solution

1. Step 1: Write the proportion equation
   16,178 : 25,726 = 25,726 : x
2. Step 2: Convert to fraction form
   16,178/25,726 = 25,726/x
3. Step 3: Cross multiply
   16,178x = 25,726 × 25,726
4. Step 4: Simplify right side
   16,178x = 661,827,076
5. Step 5: Solve for x
   x = 661,827,076/16,178
6. Step 6: Final answer
   x = 40,909.08