Finding the Third Proportional to 39,510 and 85,608

Step by Step Solution

1. Step 1: Write the proportion equation
   39,510 : 85,608 = 85,608 : x
2. Step 2: Convert to fraction form
   39,510/85,608 = 85,608/x
3. Step 3: Cross multiply
   39,510x = 85,608 × 85,608
4. Step 4: Simplify right side
   39,510x = 7,328,729,664
5. Step 5: Solve for x
   x = 7,328,729,664/39,510
6. Step 6: Final answer
   x = 185,490.50