Finding the Third Proportional to 14,389 and 31,178

Step by Step Solution

1. Step 1: Write the proportion equation
   14,389 : 31,178 = 31,178 : x
2. Step 2: Convert to fraction form
   14,389/31,178 = 31,178/x
3. Step 3: Cross multiply
   14,389x = 31,178 × 31,178
4. Step 4: Simplify right side
   14,389x = 972,067,684
5. Step 5: Solve for x
   x = 972,067,684/14,389
6. Step 6: Final answer
   x = 67,556.31