Finding the Third Proportional to 33,903 and 72,180

Step by Step Solution

1. Step 1: Write the proportion equation
   33,903 : 72,180 = 72,180 : x
2. Step 2: Convert to fraction form
   33,903/72,180 = 72,180/x
3. Step 3: Cross multiply
   33,903x = 72,180 × 72,180
4. Step 4: Simplify right side
   33,903x = 5,209,952,400
5. Step 5: Solve for x
   x = 5,209,952,400/33,903
6. Step 6: Final answer
   x = 153,672.31