Finding the Third Proportional to 32,998 and 72,524

Step by Step Solution

1. Step 1: Write the proportion equation
   32,998 : 72,524 = 72,524 : x
2. Step 2: Convert to fraction form
   32,998/72,524 = 72,524/x
3. Step 3: Cross multiply
   32,998x = 72,524 × 72,524
4. Step 4: Simplify right side
   32,998x = 5,259,730,576
5. Step 5: Solve for x
   x = 5,259,730,576/32,998
6. Step 6: Final answer
   x = 159,395.44