Finding the Third Proportional to 9,280.50 and 10,254.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,280.50 : 10,254.75 = 10,254.75 : x
2. Step 2: Convert to fraction form
   9,280.50/10,254.75 = 10,254.75/x
3. Step 3: Cross multiply
   9,280.50x = 10,254.75 × 10,254.75
4. Step 4: Simplify right side
   9,280.50x = 105,159,897.56
5. Step 5: Solve for x
   x = 105,159,897.56/9,280.50
6. Step 6: Final answer
   x = 11,331.27