Finding the Third Proportional to 25,998 and 37,178

Step by Step Solution

1. Step 1: Write the proportion equation
   25,998 : 37,178 = 37,178 : x
2. Step 2: Convert to fraction form
   25,998/37,178 = 37,178/x
3. Step 3: Cross multiply
   25,998x = 37,178 × 37,178
4. Step 4: Simplify right side
   25,998x = 1,382,203,684
5. Step 5: Solve for x
   x = 1,382,203,684/25,998
6. Step 6: Final answer
   x = 53,165.77