Finding the Third Proportional to 35,614 and 76,589

Step by Step Solution

1. Step 1: Write the proportion equation
   35,614 : 76,589 = 76,589 : x
2. Step 2: Convert to fraction form
   35,614/76,589 = 76,589/x
3. Step 3: Cross multiply
   35,614x = 76,589 × 76,589
4. Step 4: Simplify right side
   35,614x = 5,865,874,921
5. Step 5: Solve for x
   x = 5,865,874,921/35,614
6. Step 6: Final answer
   x = 164,707.00