Finding the Third Proportional to 11,877 and 17,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,877 : 17,842.50 = 17,842.50 : x
2. Step 2: Convert to fraction form
   11,877/17,842.50 = 17,842.50/x
3. Step 3: Cross multiply
   11,877x = 17,842.50 × 17,842.50
4. Step 4: Simplify right side
   11,877x = 318,354,806.25
5. Step 5: Solve for x
   x = 318,354,806.25/11,877
6. Step 6: Final answer
   x = 26,804.31