Finding the Third Proportional to 38,164 and 59,162

Step by Step Solution

1. Step 1: Write the proportion equation
   38,164 : 59,162 = 59,162 : x
2. Step 2: Convert to fraction form
   38,164/59,162 = 59,162/x
3. Step 3: Cross multiply
   38,164x = 59,162 × 59,162
4. Step 4: Simplify right side
   38,164x = 3,500,142,244
5. Step 5: Solve for x
   x = 3,500,142,244/38,164
6. Step 6: Final answer
   x = 91,713.19