Finding the Third Proportional to 11,426 and 17,090

Step by Step Solution

1. Step 1: Write the proportion equation
   11,426 : 17,090 = 17,090 : x
2. Step 2: Convert to fraction form
   11,426/17,090 = 17,090/x
3. Step 3: Cross multiply
   11,426x = 17,090 × 17,090
4. Step 4: Simplify right side
   11,426x = 292,068,100
5. Step 5: Solve for x
   x = 292,068,100/11,426
6. Step 6: Final answer
   x = 25,561.71