Finding the Third Proportional to 10,833.75 and 20,224.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,833.75 : 20,224.69 = 20,224.69 : x
2. Step 2: Convert to fraction form
   10,833.75/20,224.69 = 20,224.69/x
3. Step 3: Cross multiply
   10,833.75x = 20,224.69 × 20,224.69
4. Step 4: Simplify right side
   10,833.75x = 409,037,984.47
5. Step 5: Solve for x
   x = 409,037,984.47/10,833.75
6. Step 6: Final answer
   x = 37,755.90