Finding the Third Proportional to 5,266.50 and 7,409.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,266.50 : 7,409.25 = 7,409.25 : x
2. Step 2: Convert to fraction form
   5,266.50/7,409.25 = 7,409.25/x
3. Step 3: Cross multiply
   5,266.50x = 7,409.25 × 7,409.25
4. Step 4: Simplify right side
   5,266.50x = 54,896,985.56
5. Step 5: Solve for x
   x = 54,896,985.56/5,266.50
6. Step 6: Final answer
   x = 10,423.81