Finding the Third Proportional to 33,122 and 71,772

Step by Step Solution

1. Step 1: Write the proportion equation
   33,122 : 71,772 = 71,772 : x
2. Step 2: Convert to fraction form
   33,122/71,772 = 71,772/x
3. Step 3: Cross multiply
   33,122x = 71,772 × 71,772
4. Step 4: Simplify right side
   33,122x = 5,151,219,984
5. Step 5: Solve for x
   x = 5,151,219,984/33,122
6. Step 6: Final answer
   x = 155,522.61