Finding the Third Proportional to 41,948 and 85,840

Step by Step Solution

1. Step 1: Write the proportion equation
   41,948 : 85,840 = 85,840 : x
2. Step 2: Convert to fraction form
   41,948/85,840 = 85,840/x
3. Step 3: Cross multiply
   41,948x = 85,840 × 85,840
4. Step 4: Simplify right side
   41,948x = 7,368,505,600
5. Step 5: Solve for x
   x = 7,368,505,600/41,948
6. Step 6: Final answer
   x = 175,658.09