Finding the Third Proportional to 32,898 and 72,356

Step by Step Solution

1. Step 1: Write the proportion equation
   32,898 : 72,356 = 72,356 : x
2. Step 2: Convert to fraction form
   32,898/72,356 = 72,356/x
3. Step 3: Cross multiply
   32,898x = 72,356 × 72,356
4. Step 4: Simplify right side
   32,898x = 5,235,390,736
5. Step 5: Solve for x
   x = 5,235,390,736/32,898
6. Step 6: Final answer
   x = 159,140.09