Finding the Third Proportional to 10,509.75 and 21,566.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,509.75 : 21,566.25 = 21,566.25 : x
2. Step 2: Convert to fraction form
   10,509.75/21,566.25 = 21,566.25/x
3. Step 3: Cross multiply
   10,509.75x = 21,566.25 × 21,566.25
4. Step 4: Simplify right side
   10,509.75x = 465,103,139.06
5. Step 5: Solve for x
   x = 465,103,139.06/10,509.75
6. Step 6: Final answer
   x = 44,254.44