Finding the Third Proportional to 35,536 and 77,336

Step by Step Solution

1. Step 1: Write the proportion equation
   35,536 : 77,336 = 77,336 : x
2. Step 2: Convert to fraction form
   35,536/77,336 = 77,336/x
3. Step 3: Cross multiply
   35,536x = 77,336 × 77,336
4. Step 4: Simplify right side
   35,536x = 5,980,856,896
5. Step 5: Solve for x
   x = 5,980,856,896/35,536
6. Step 6: Final answer
   x = 168,304.17