Finding the Third Proportional to 39,840 and 58,608

Step by Step Solution

1. Step 1: Write the proportion equation
   39,840 : 58,608 = 58,608 : x
2. Step 2: Convert to fraction form
   39,840/58,608 = 58,608/x
3. Step 3: Cross multiply
   39,840x = 58,608 × 58,608
4. Step 4: Simplify right side
   39,840x = 3,434,897,664
5. Step 5: Solve for x
   x = 3,434,897,664/39,840
6. Step 6: Final answer
   x = 86,217.31