Finding the Third Proportional to 10,090 and 13,298

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090 : 13,298 = 13,298 : x
2. Step 2: Convert to fraction form
   10,090/13,298 = 13,298/x
3. Step 3: Cross multiply
   10,090x = 13,298 × 13,298
4. Step 4: Simplify right side
   10,090x = 176,836,804
5. Step 5: Solve for x
   x = 176,836,804/10,090
6. Step 6: Final answer
   x = 17,525.95