Finding the Third Proportional to 65,736 and 102,984

Step by Step Solution

1. Step 1: Write the proportion equation
   65,736 : 102,984 = 102,984 : x
2. Step 2: Convert to fraction form
   65,736/102,984 = 102,984/x
3. Step 3: Cross multiply
   65,736x = 102,984 × 102,984
4. Step 4: Simplify right side
   65,736x = 10,605,704,256
5. Step 5: Solve for x
   x = 10,605,704,256/65,736
6. Step 6: Final answer
   x = 161,337.84