Finding the Third Proportional to 14,820 and 32,504

Step by Step Solution

1. Step 1: Write the proportion equation
   14,820 : 32,504 = 32,504 : x
2. Step 2: Convert to fraction form
   14,820/32,504 = 32,504/x
3. Step 3: Cross multiply
   14,820x = 32,504 × 32,504
4. Step 4: Simplify right side
   14,820x = 1,056,510,016
5. Step 5: Solve for x
   x = 1,056,510,016/14,820
6. Step 6: Final answer
   x = 71,289.47