Finding the Third Proportional to 11,748 and 17,574

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748 : 17,574 = 17,574 : x
2. Step 2: Convert to fraction form
   11,748/17,574 = 17,574/x
3. Step 3: Cross multiply
   11,748x = 17,574 × 17,574
4. Step 4: Simplify right side
   11,748x = 308,845,476
5. Step 5: Solve for x
   x = 308,845,476/11,748
6. Step 6: Final answer
   x = 26,289.20