Finding the Third Proportional to 35,388 and 77,339.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,388 : 77,339.25 = 77,339.25 : x
2. Step 2: Convert to fraction form
   35,388/77,339.25 = 77,339.25/x
3. Step 3: Cross multiply
   35,388x = 77,339.25 × 77,339.25
4. Step 4: Simplify right side
   35,388x = 5,981,359,590.56
5. Step 5: Solve for x
   x = 5,981,359,590.56/35,388
6. Step 6: Final answer
   x = 169,022.26