Finding the Third Proportional to 10,455.75 and 20,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,455.75 : 20,641.50 = 20,641.50 : x
2. Step 2: Convert to fraction form
   10,455.75/20,641.50 = 20,641.50/x
3. Step 3: Cross multiply
   10,455.75x = 20,641.50 × 20,641.50
4. Step 4: Simplify right side
   10,455.75x = 426,071,522.25
5. Step 5: Solve for x
   x = 426,071,522.25/10,455.75
6. Step 6: Final answer
   x = 40,749.97