Finding the Third Proportional to 5,730 and 12,076

Step by Step Solution

1. Step 1: Write the proportion equation
   5,730 : 12,076 = 12,076 : x
2. Step 2: Convert to fraction form
   5,730/12,076 = 12,076/x
3. Step 3: Cross multiply
   5,730x = 12,076 × 12,076
4. Step 4: Simplify right side
   5,730x = 145,829,776
5. Step 5: Solve for x
   x = 145,829,776/5,730
6. Step 6: Final answer
   x = 25,450.22