Finding the Third Proportional to 39,206 and 59,170

Step by Step Solution

1. Step 1: Write the proportion equation
   39,206 : 59,170 = 59,170 : x
2. Step 2: Convert to fraction form
   39,206/59,170 = 59,170/x
3. Step 3: Cross multiply
   39,206x = 59,170 × 59,170
4. Step 4: Simplify right side
   39,206x = 3,501,088,900
5. Step 5: Solve for x
   x = 3,501,088,900/39,206
6. Step 6: Final answer
   x = 89,299.82