Finding the Third Proportional to 14,544 and 34,632

Step by Step Solution

1. Step 1: Write the proportion equation
   14,544 : 34,632 = 34,632 : x
2. Step 2: Convert to fraction form
   14,544/34,632 = 34,632/x
3. Step 3: Cross multiply
   14,544x = 34,632 × 34,632
4. Step 4: Simplify right side
   14,544x = 1,199,375,424
5. Step 5: Solve for x
   x = 1,199,375,424/14,544
6. Step 6: Final answer
   x = 82,465.31