Finding the Third Proportional to 5,175.75 and 7,974.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,175.75 : 7,974.25 = 7,974.25 : x
2. Step 2: Convert to fraction form
   5,175.75/7,974.25 = 7,974.25/x
3. Step 3: Cross multiply
   5,175.75x = 7,974.25 × 7,974.25
4. Step 4: Simplify right side
   5,175.75x = 63,588,663.06
5. Step 5: Solve for x
   x = 63,588,663.06/5,175.75
6. Step 6: Final answer
   x = 12,285.88