Finding the Third Proportional to 17,833.50 and 27,225

Step by Step Solution

1. Step 1: Write the proportion equation
   17,833.50 : 27,225 = 27,225 : x
2. Step 2: Convert to fraction form
   17,833.50/27,225 = 27,225/x
3. Step 3: Cross multiply
   17,833.50x = 27,225 × 27,225
4. Step 4: Simplify right side
   17,833.50x = 741,200,625
5. Step 5: Solve for x
   x = 741,200,625/17,833.50
6. Step 6: Final answer
   x = 41,562.26