Finding the Third Proportional to 35,349 and 73,614

Step by Step Solution

1. Step 1: Write the proportion equation
   35,349 : 73,614 = 73,614 : x
2. Step 2: Convert to fraction form
   35,349/73,614 = 73,614/x
3. Step 3: Cross multiply
   35,349x = 73,614 × 73,614
4. Step 4: Simplify right side
   35,349x = 5,419,020,996
5. Step 5: Solve for x
   x = 5,419,020,996/35,349
6. Step 6: Final answer
   x = 153,300.55