Finding the Third Proportional to 33,622 and 72,332

Step by Step Solution

1. Step 1: Write the proportion equation
   33,622 : 72,332 = 72,332 : x
2. Step 2: Convert to fraction form
   33,622/72,332 = 72,332/x
3. Step 3: Cross multiply
   33,622x = 72,332 × 72,332
4. Step 4: Simplify right side
   33,622x = 5,231,918,224
5. Step 5: Solve for x
   x = 5,231,918,224/33,622
6. Step 6: Final answer
   x = 155,609.96