Finding the Third Proportional to 50,564 and 76,481

Step by Step Solution

1. Step 1: Write the proportion equation
   50,564 : 76,481 = 76,481 : x
2. Step 2: Convert to fraction form
   50,564/76,481 = 76,481/x
3. Step 3: Cross multiply
   50,564x = 76,481 × 76,481
4. Step 4: Simplify right side
   50,564x = 5,849,343,361
5. Step 5: Solve for x
   x = 5,849,343,361/50,564
6. Step 6: Final answer
   x = 115,681.97