Finding the Third Proportional to 32,998 and 72,233

Step by Step Solution

1. Step 1: Write the proportion equation
   32,998 : 72,233 = 72,233 : x
2. Step 2: Convert to fraction form
   32,998/72,233 = 72,233/x
3. Step 3: Cross multiply
   32,998x = 72,233 × 72,233
4. Step 4: Simplify right side
   32,998x = 5,217,606,289
5. Step 5: Solve for x
   x = 5,217,606,289/32,998
6. Step 6: Final answer
   x = 158,118.86