Finding the Third Proportional to 10,090 and 12,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090 : 12,765.50 = 12,765.50 : x
2. Step 2: Convert to fraction form
   10,090/12,765.50 = 12,765.50/x
3. Step 3: Cross multiply
   10,090x = 12,765.50 × 12,765.50
4. Step 4: Simplify right side
   10,090x = 162,957,990.25
5. Step 5: Solve for x
   x = 162,957,990.25/10,090
6. Step 6: Final answer
   x = 16,150.45