Finding the Third Proportional to 11,838 and 17,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,838 : 17,675.50 = 17,675.50 : x
2. Step 2: Convert to fraction form
   11,838/17,675.50 = 17,675.50/x
3. Step 3: Cross multiply
   11,838x = 17,675.50 × 17,675.50
4. Step 4: Simplify right side
   11,838x = 312,423,300.25
5. Step 5: Solve for x
   x = 312,423,300.25/11,838
6. Step 6: Final answer
   x = 26,391.56