Finding the Third Proportional to 31,500 and 50,754

Step by Step Solution

1. Step 1: Write the proportion equation
   31,500 : 50,754 = 50,754 : x
2. Step 2: Convert to fraction form
   31,500/50,754 = 50,754/x
3. Step 3: Cross multiply
   31,500x = 50,754 × 50,754
4. Step 4: Simplify right side
   31,500x = 2,575,968,516
5. Step 5: Solve for x
   x = 2,575,968,516/31,500
6. Step 6: Final answer
   x = 81,776.78