Finding the Third Proportional to 11,801.25 and 17,637.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,801.25 : 17,637.75 = 17,637.75 : x
2. Step 2: Convert to fraction form
   11,801.25/17,637.75 = 17,637.75/x
3. Step 3: Cross multiply
   11,801.25x = 17,637.75 × 17,637.75
4. Step 4: Simplify right side
   11,801.25x = 311,090,225.06
5. Step 5: Solve for x
   x = 311,090,225.06/11,801.25
6. Step 6: Final answer
   x = 26,360.79