Finding the Third Proportional to 33,005.50 and 72,032

Step by Step Solution

1. Step 1: Write the proportion equation
   33,005.50 : 72,032 = 72,032 : x
2. Step 2: Convert to fraction form
   33,005.50/72,032 = 72,032/x
3. Step 3: Cross multiply
   33,005.50x = 72,032 × 72,032
4. Step 4: Simplify right side
   33,005.50x = 5,188,609,024
5. Step 5: Solve for x
   x = 5,188,609,024/33,005.50
6. Step 6: Final answer
   x = 157,204.38