Finding the Third Proportional to 33,260 and 72,772

Step by Step Solution

1. Step 1: Write the proportion equation
   33,260 : 72,772 = 72,772 : x
2. Step 2: Convert to fraction form
   33,260/72,772 = 72,772/x
3. Step 3: Cross multiply
   33,260x = 72,772 × 72,772
4. Step 4: Simplify right side
   33,260x = 5,295,763,984
5. Step 5: Solve for x
   x = 5,295,763,984/33,260
6. Step 6: Final answer
   x = 159,223.21