Finding the Third Proportional to 32,820 and 67,576

Step by Step Solution

1. Step 1: Write the proportion equation
   32,820 : 67,576 = 67,576 : x
2. Step 2: Convert to fraction form
   32,820/67,576 = 67,576/x
3. Step 3: Cross multiply
   32,820x = 67,576 × 67,576
4. Step 4: Simplify right side
   32,820x = 4,566,515,776
5. Step 5: Solve for x
   x = 4,566,515,776/32,820
6. Step 6: Final answer
   x = 139,138.20