Finding the Third Proportional to 10,874.25 and 14,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,874.25 : 14,458.50 = 14,458.50 : x
2. Step 2: Convert to fraction form
   10,874.25/14,458.50 = 14,458.50/x
3. Step 3: Cross multiply
   10,874.25x = 14,458.50 × 14,458.50
4. Step 4: Simplify right side
   10,874.25x = 209,048,222.25
5. Step 5: Solve for x
   x = 209,048,222.25/10,874.25
6. Step 6: Final answer
   x = 19,224.15