Finding the Third Proportional to 8,073 and 17,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,073 : 17,419.50 = 17,419.50 : x
2. Step 2: Convert to fraction form
   8,073/17,419.50 = 17,419.50/x
3. Step 3: Cross multiply
   8,073x = 17,419.50 × 17,419.50
4. Step 4: Simplify right side
   8,073x = 303,438,980.25
5. Step 5: Solve for x
   x = 303,438,980.25/8,073
6. Step 6: Final answer
   x = 37,586.89