Finding the Third Proportional to 32,052 and 51,494

Step by Step Solution

1. Step 1: Write the proportion equation
   32,052 : 51,494 = 51,494 : x
2. Step 2: Convert to fraction form
   32,052/51,494 = 51,494/x
3. Step 3: Cross multiply
   32,052x = 51,494 × 51,494
4. Step 4: Simplify right side
   32,052x = 2,651,632,036
5. Step 5: Solve for x
   x = 2,651,632,036/32,052
6. Step 6: Final answer
   x = 82,729.07