Finding the Third Proportional to 50,382 and 75,516

Step by Step Solution

1. Step 1: Write the proportion equation
   50,382 : 75,516 = 75,516 : x
2. Step 2: Convert to fraction form
   50,382/75,516 = 75,516/x
3. Step 3: Cross multiply
   50,382x = 75,516 × 75,516
4. Step 4: Simplify right side
   50,382x = 5,702,666,256
5. Step 5: Solve for x
   x = 5,702,666,256/50,382
6. Step 6: Final answer
   x = 113,188.56