Finding the Third Proportional to 14,132 and 32,858

Step by Step Solution

1. Step 1: Write the proportion equation
   14,132 : 32,858 = 32,858 : x
2. Step 2: Convert to fraction form
   14,132/32,858 = 32,858/x
3. Step 3: Cross multiply
   14,132x = 32,858 × 32,858
4. Step 4: Simplify right side
   14,132x = 1,079,648,164
5. Step 5: Solve for x
   x = 1,079,648,164/14,132
6. Step 6: Final answer
   x = 76,397.41