Finding the Third Proportional to 41,760 and 85,248

Step by Step Solution

1. Step 1: Write the proportion equation
   41,760 : 85,248 = 85,248 : x
2. Step 2: Convert to fraction form
   41,760/85,248 = 85,248/x
3. Step 3: Cross multiply
   41,760x = 85,248 × 85,248
4. Step 4: Simplify right side
   41,760x = 7,267,221,504
5. Step 5: Solve for x
   x = 7,267,221,504/41,760
6. Step 6: Final answer
   x = 174,023.50