Finding the Third Proportional to 31,500 and 44,096

Step by Step Solution

1. Step 1: Write the proportion equation
   31,500 : 44,096 = 44,096 : x
2. Step 2: Convert to fraction form
   31,500/44,096 = 44,096/x
3. Step 3: Cross multiply
   31,500x = 44,096 × 44,096
4. Step 4: Simplify right side
   31,500x = 1,944,457,216
5. Step 5: Solve for x
   x = 1,944,457,216/31,500
6. Step 6: Final answer
   x = 61,728.80