Finding the Third Proportional to 39,164 and 59,109

Step by Step Solution

1. Step 1: Write the proportion equation
   39,164 : 59,109 = 59,109 : x
2. Step 2: Convert to fraction form
   39,164/59,109 = 59,109/x
3. Step 3: Cross multiply
   39,164x = 59,109 × 59,109
4. Step 4: Simplify right side
   39,164x = 3,493,873,881
5. Step 5: Solve for x
   x = 3,493,873,881/39,164
6. Step 6: Final answer
   x = 89,211.36