Finding the Third Proportional to 7,146 and 12,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,146 : 12,874.50 = 12,874.50 : x
2. Step 2: Convert to fraction form
   7,146/12,874.50 = 12,874.50/x
3. Step 3: Cross multiply
   7,146x = 12,874.50 × 12,874.50
4. Step 4: Simplify right side
   7,146x = 165,752,750.25
5. Step 5: Solve for x
   x = 165,752,750.25/7,146
6. Step 6: Final answer
   x = 23,195.18