Finding the Third Proportional to 11,637 and 17,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,637 : 17,806.50 = 17,806.50 : x
2. Step 2: Convert to fraction form
   11,637/17,806.50 = 17,806.50/x
3. Step 3: Cross multiply
   11,637x = 17,806.50 × 17,806.50
4. Step 4: Simplify right side
   11,637x = 317,071,442.25
5. Step 5: Solve for x
   x = 317,071,442.25/11,637
6. Step 6: Final answer
   x = 27,246.84