Finding the Third Proportional to 7,806 and 17,910

Step by Step Solution

1. Step 1: Write the proportion equation
   7,806 : 17,910 = 17,910 : x
2. Step 2: Convert to fraction form
   7,806/17,910 = 17,910/x
3. Step 3: Cross multiply
   7,806x = 17,910 × 17,910
4. Step 4: Simplify right side
   7,806x = 320,768,100
5. Step 5: Solve for x
   x = 320,768,100/7,806
6. Step 6: Final answer
   x = 41,092.51