Finding the Third Proportional to 35,627 and 76,614

Step by Step Solution

1. Step 1: Write the proportion equation
   35,627 : 76,614 = 76,614 : x
2. Step 2: Convert to fraction form
   35,627/76,614 = 76,614/x
3. Step 3: Cross multiply
   35,627x = 76,614 × 76,614
4. Step 4: Simplify right side
   35,627x = 5,869,704,996
5. Step 5: Solve for x
   x = 5,869,704,996/35,627
6. Step 6: Final answer
   x = 164,754.40