Finding the Third Proportional to 10,919.25 and 20,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,919.25 : 20,461.50 = 20,461.50 : x
2. Step 2: Convert to fraction form
   10,919.25/20,461.50 = 20,461.50/x
3. Step 3: Cross multiply
   10,919.25x = 20,461.50 × 20,461.50
4. Step 4: Simplify right side
   10,919.25x = 418,672,982.25
5. Step 5: Solve for x
   x = 418,672,982.25/10,919.25
6. Step 6: Final answer
   x = 38,342.65