Finding the Third Proportional to 33,532 and 72,333

Step by Step Solution

1. Step 1: Write the proportion equation
   33,532 : 72,333 = 72,333 : x
2. Step 2: Convert to fraction form
   33,532/72,333 = 72,333/x
3. Step 3: Cross multiply
   33,532x = 72,333 × 72,333
4. Step 4: Simplify right side
   33,532x = 5,232,062,889
5. Step 5: Solve for x
   x = 5,232,062,889/33,532
6. Step 6: Final answer
   x = 156,031.94