Finding the Third Proportional to 50,616 and 76,536

Step by Step Solution

1. Step 1: Write the proportion equation
   50,616 : 76,536 = 76,536 : x
2. Step 2: Convert to fraction form
   50,616/76,536 = 76,536/x
3. Step 3: Cross multiply
   50,616x = 76,536 × 76,536
4. Step 4: Simplify right side
   50,616x = 5,857,759,296
5. Step 5: Solve for x
   x = 5,857,759,296/50,616
6. Step 6: Final answer
   x = 115,729.40