Finding the Third Proportional to 11,748 and 17,738

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748 : 17,738 = 17,738 : x
2. Step 2: Convert to fraction form
   11,748/17,738 = 17,738/x
3. Step 3: Cross multiply
   11,748x = 17,738 × 17,738
4. Step 4: Simplify right side
   11,748x = 314,636,644
5. Step 5: Solve for x
   x = 314,636,644/11,748
6. Step 6: Final answer
   x = 26,782.15