Finding the Third Proportional to 36,394 and 77,162

Step by Step Solution

1. Step 1: Write the proportion equation
   36,394 : 77,162 = 77,162 : x
2. Step 2: Convert to fraction form
   36,394/77,162 = 77,162/x
3. Step 3: Cross multiply
   36,394x = 77,162 × 77,162
4. Step 4: Simplify right side
   36,394x = 5,953,974,244
5. Step 5: Solve for x
   x = 5,953,974,244/36,394
6. Step 6: Final answer
   x = 163,597.69