Finding the Third Proportional to 32,736 and 72,726

Step by Step Solution

1. Step 1: Write the proportion equation
   32,736 : 72,726 = 72,726 : x
2. Step 2: Convert to fraction form
   32,736/72,726 = 72,726/x
3. Step 3: Cross multiply
   32,736x = 72,726 × 72,726
4. Step 4: Simplify right side
   32,736x = 5,289,071,076
5. Step 5: Solve for x
   x = 5,289,071,076/32,736
6. Step 6: Final answer
   x = 161,567.42