Finding the Third Proportional to 12,820 and 31,028

Step by Step Solution

1. Step 1: Write the proportion equation
   12,820 : 31,028 = 31,028 : x
2. Step 2: Convert to fraction form
   12,820/31,028 = 31,028/x
3. Step 3: Cross multiply
   12,820x = 31,028 × 31,028
4. Step 4: Simplify right side
   12,820x = 962,736,784
5. Step 5: Solve for x
   x = 962,736,784/12,820
6. Step 6: Final answer
   x = 75,096.47