Finding the Third Proportional to 32,852 and 72,456

Step by Step Solution

1. Step 1: Write the proportion equation
   32,852 : 72,456 = 72,456 : x
2. Step 2: Convert to fraction form
   32,852/72,456 = 72,456/x
3. Step 3: Cross multiply
   32,852x = 72,456 × 72,456
4. Step 4: Simplify right side
   32,852x = 5,249,871,936
5. Step 5: Solve for x
   x = 5,249,871,936/32,852
6. Step 6: Final answer
   x = 159,803.72