Finding the Third Proportional to 50,742 and 72,122.63

Step by Step Solution

1. Step 1: Write the proportion equation
   50,742 : 72,122.63 = 72,122.63 : x
2. Step 2: Convert to fraction form
   50,742/72,122.63 = 72,122.63/x
3. Step 3: Cross multiply
   50,742x = 72,122.63 × 72,122.63
4. Step 4: Simplify right side
   50,742x = 5,201,673,036.89
5. Step 5: Solve for x
   x = 5,201,673,036.89/50,742
6. Step 6: Final answer
   x = 102,512.18