Finding the Third Proportional to 32,895 and 72,351

Step by Step Solution

1. Step 1: Write the proportion equation
   32,895 : 72,351 = 72,351 : x
2. Step 2: Convert to fraction form
   32,895/72,351 = 72,351/x
3. Step 3: Cross multiply
   32,895x = 72,351 × 72,351
4. Step 4: Simplify right side
   32,895x = 5,234,667,201
5. Step 5: Solve for x
   x = 5,234,667,201/32,895
6. Step 6: Final answer
   x = 159,132.61