Finding the Third Proportional to 52,736 and 80,672

Step by Step Solution

1. Step 1: Write the proportion equation
   52,736 : 80,672 = 80,672 : x
2. Step 2: Convert to fraction form
   52,736/80,672 = 80,672/x
3. Step 3: Cross multiply
   52,736x = 80,672 × 80,672
4. Step 4: Simplify right side
   52,736x = 6,507,971,584
5. Step 5: Solve for x
   x = 6,507,971,584/52,736
6. Step 6: Final answer
   x = 123,406.62