Finding the Third Proportional to 35,638 and 76,984

Step by Step Solution

1. Step 1: Write the proportion equation
   35,638 : 76,984 = 76,984 : x
2. Step 2: Convert to fraction form
   35,638/76,984 = 76,984/x
3. Step 3: Cross multiply
   35,638x = 76,984 × 76,984
4. Step 4: Simplify right side
   35,638x = 5,926,536,256
5. Step 5: Solve for x
   x = 5,926,536,256/35,638
6. Step 6: Final answer
   x = 166,298.23