Finding the Third Proportional to 35,536 and 73,952

Step by Step Solution

1. Step 1: Write the proportion equation
   35,536 : 73,952 = 73,952 : x
2. Step 2: Convert to fraction form
   35,536/73,952 = 73,952/x
3. Step 3: Cross multiply
   35,536x = 73,952 × 73,952
4. Step 4: Simplify right side
   35,536x = 5,468,898,304
5. Step 5: Solve for x
   x = 5,468,898,304/35,536
6. Step 6: Final answer
   x = 153,897.41