Finding the Third Proportional to 34,032 and 72,180

Step by Step Solution

1. Step 1: Write the proportion equation
   34,032 : 72,180 = 72,180 : x
2. Step 2: Convert to fraction form
   34,032/72,180 = 72,180/x
3. Step 3: Cross multiply
   34,032x = 72,180 × 72,180
4. Step 4: Simplify right side
   34,032x = 5,209,952,400
5. Step 5: Solve for x
   x = 5,209,952,400/34,032
6. Step 6: Final answer
   x = 153,089.81