Finding the Third Proportional to 32,829 and 72,017

Step by Step Solution

1. Step 1: Write the proportion equation
   32,829 : 72,017 = 72,017 : x
2. Step 2: Convert to fraction form
   32,829/72,017 = 72,017/x
3. Step 3: Cross multiply
   32,829x = 72,017 × 72,017
4. Step 4: Simplify right side
   32,829x = 5,186,448,289
5. Step 5: Solve for x
   x = 5,186,448,289/32,829
6. Step 6: Final answer
   x = 157,983.74