Finding the Third Proportional to 17,766 and 39,109

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 39,109 = 39,109 : x
2. Step 2: Convert to fraction form
   17,766/39,109 = 39,109/x
3. Step 3: Cross multiply
   17,766x = 39,109 × 39,109
4. Step 4: Simplify right side
   17,766x = 1,529,513,881
5. Step 5: Solve for x
   x = 1,529,513,881/17,766
6. Step 6: Final answer
   x = 86,092.19