Finding the Third Proportional to 17,265 and 37,823.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,265 : 37,823.25 = 37,823.25 : x
2. Step 2: Convert to fraction form
   17,265/37,823.25 = 37,823.25/x
3. Step 3: Cross multiply
   17,265x = 37,823.25 × 37,823.25
4. Step 4: Simplify right side
   17,265x = 1,430,598,240.56
5. Step 5: Solve for x
   x = 1,430,598,240.56/17,265
6. Step 6: Final answer
   x = 82,861.18