Finding the Third Proportional to 10,097.75 and 20,685.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.75 : 20,685.25 = 20,685.25 : x
2. Step 2: Convert to fraction form
   10,097.75/20,685.25 = 20,685.25/x
3. Step 3: Cross multiply
   10,097.75x = 20,685.25 × 20,685.25
4. Step 4: Simplify right side
   10,097.75x = 427,879,567.56
5. Step 5: Solve for x
   x = 427,879,567.56/10,097.75
6. Step 6: Final answer
   x = 42,373.75