Finding the Third Proportional to 50,592 and 76,588

Step by Step Solution

1. Step 1: Write the proportion equation
   50,592 : 76,588 = 76,588 : x
2. Step 2: Convert to fraction form
   50,592/76,588 = 76,588/x
3. Step 3: Cross multiply
   50,592x = 76,588 × 76,588
4. Step 4: Simplify right side
   50,592x = 5,865,721,744
5. Step 5: Solve for x
   x = 5,865,721,744/50,592
6. Step 6: Final answer
   x = 115,941.69