Finding the Third Proportional to 42,771 and 102,910

Step by Step Solution

1. Step 1: Write the proportion equation
   42,771 : 102,910 = 102,910 : x
2. Step 2: Convert to fraction form
   42,771/102,910 = 102,910/x
3. Step 3: Cross multiply
   42,771x = 102,910 × 102,910
4. Step 4: Simplify right side
   42,771x = 10,590,468,100
5. Step 5: Solve for x
   x = 10,590,468,100/42,771
6. Step 6: Final answer
   x = 247,608.62