Finding the Third Proportional to 11,534.50 and 17,820.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,534.50 : 17,820.75 = 17,820.75 : x
2. Step 2: Convert to fraction form
   11,534.50/17,820.75 = 17,820.75/x
3. Step 3: Cross multiply
   11,534.50x = 17,820.75 × 17,820.75
4. Step 4: Simplify right side
   11,534.50x = 317,579,130.56
5. Step 5: Solve for x
   x = 317,579,130.56/11,534.50
6. Step 6: Final answer
   x = 27,532.98