Finding the Third Proportional to 39,840 and 83,760

Step by Step Solution

1. Step 1: Write the proportion equation
   39,840 : 83,760 = 83,760 : x
2. Step 2: Convert to fraction form
   39,840/83,760 = 83,760/x
3. Step 3: Cross multiply
   39,840x = 83,760 × 83,760
4. Step 4: Simplify right side
   39,840x = 7,015,737,600
5. Step 5: Solve for x
   x = 7,015,737,600/39,840
6. Step 6: Final answer
   x = 176,097.83