Finding the Third Proportional to 41,760 and 87,892

Step by Step Solution

1. Step 1: Write the proportion equation
   41,760 : 87,892 = 87,892 : x
2. Step 2: Convert to fraction form
   41,760/87,892 = 87,892/x
3. Step 3: Cross multiply
   41,760x = 87,892 × 87,892
4. Step 4: Simplify right side
   41,760x = 7,725,003,664
5. Step 5: Solve for x
   x = 7,725,003,664/41,760
6. Step 6: Final answer
   x = 184,985.72