Finding the Third Proportional to 5,287 and 7,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,287 : 7,426.50 = 7,426.50 : x
2. Step 2: Convert to fraction form
   5,287/7,426.50 = 7,426.50/x
3. Step 3: Cross multiply
   5,287x = 7,426.50 × 7,426.50
4. Step 4: Simplify right side
   5,287x = 55,152,902.25
5. Step 5: Solve for x
   x = 55,152,902.25/5,287
6. Step 6: Final answer
   x = 10,431.80