Finding the Third Proportional to 11,538.56 and 15,662.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538.56 : 15,662.25 = 15,662.25 : x
2. Step 2: Convert to fraction form
   11,538.56/15,662.25 = 15,662.25/x
3. Step 3: Cross multiply
   11,538.56x = 15,662.25 × 15,662.25
4. Step 4: Simplify right side
   11,538.56x = 245,306,075.06
5. Step 5: Solve for x
   x = 245,306,075.06/11,538.56
6. Step 6: Final answer
   x = 21,259.67