Finding the Third Proportional to 11,748 and 18,838

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748 : 18,838 = 18,838 : x
2. Step 2: Convert to fraction form
   11,748/18,838 = 18,838/x
3. Step 3: Cross multiply
   11,748x = 18,838 × 18,838
4. Step 4: Simplify right side
   11,748x = 354,870,244
5. Step 5: Solve for x
   x = 354,870,244/11,748
6. Step 6: Final answer
   x = 30,206.86