Finding the Third Proportional to 11,553.89 and 17,820.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,553.89 : 17,820.63 = 17,820.63 : x
2. Step 2: Convert to fraction form
   11,553.89/17,820.63 = 17,820.63/x
3. Step 3: Cross multiply
   11,553.89x = 17,820.63 × 17,820.63
4. Step 4: Simplify right side
   11,553.89x = 317,574,953.84
5. Step 5: Solve for x
   x = 317,574,953.84/11,553.89
6. Step 6: Final answer
   x = 27,486.41