Finding the Third Proportional to 33,599 and 72,922

Step by Step Solution

1. Step 1: Write the proportion equation
   33,599 : 72,922 = 72,922 : x
2. Step 2: Convert to fraction form
   33,599/72,922 = 72,922/x
3. Step 3: Cross multiply
   33,599x = 72,922 × 72,922
4. Step 4: Simplify right side
   33,599x = 5,317,618,084
5. Step 5: Solve for x
   x = 5,317,618,084/33,599
6. Step 6: Final answer
   x = 158,267.15