Finding the Third Proportional to 39,072 and 85,632

Step by Step Solution

1. Step 1: Write the proportion equation
   39,072 : 85,632 = 85,632 : x
2. Step 2: Convert to fraction form
   39,072/85,632 = 85,632/x
3. Step 3: Cross multiply
   39,072x = 85,632 × 85,632
4. Step 4: Simplify right side
   39,072x = 7,332,839,424
5. Step 5: Solve for x
   x = 7,332,839,424/39,072
6. Step 6: Final answer
   x = 187,675.05