Finding the Third Proportional to 8,214 and 13,090

Step by Step Solution

1. Step 1: Write the proportion equation
   8,214 : 13,090 = 13,090 : x
2. Step 2: Convert to fraction form
   8,214/13,090 = 13,090/x
3. Step 3: Cross multiply
   8,214x = 13,090 × 13,090
4. Step 4: Simplify right side
   8,214x = 171,348,100
5. Step 5: Solve for x
   x = 171,348,100/8,214
6. Step 6: Final answer
   x = 20,860.49