Finding the Third Proportional to 11,853 and 17,810.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,853 : 17,810.25 = 17,810.25 : x
2. Step 2: Convert to fraction form
   11,853/17,810.25 = 17,810.25/x
3. Step 3: Cross multiply
   11,853x = 17,810.25 × 17,810.25
4. Step 4: Simplify right side
   11,853x = 317,205,005.06
5. Step 5: Solve for x
   x = 317,205,005.06/11,853
6. Step 6: Final answer
   x = 26,761.58