Finding the Third Proportional to 32,724 and 71,241

Step by Step Solution

1. Step 1: Write the proportion equation
   32,724 : 71,241 = 71,241 : x
2. Step 2: Convert to fraction form
   32,724/71,241 = 71,241/x
3. Step 3: Cross multiply
   32,724x = 71,241 × 71,241
4. Step 4: Simplify right side
   32,724x = 5,075,280,081
5. Step 5: Solve for x
   x = 5,075,280,081/32,724
6. Step 6: Final answer
   x = 155,093.51