Finding the Third Proportional to 17,919 and 38,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,919 : 38,299.50 = 38,299.50 : x
2. Step 2: Convert to fraction form
   17,919/38,299.50 = 38,299.50/x
3. Step 3: Cross multiply
   17,919x = 38,299.50 × 38,299.50
4. Step 4: Simplify right side
   17,919x = 1,466,851,700.25
5. Step 5: Solve for x
   x = 1,466,851,700.25/17,919
6. Step 6: Final answer
   x = 81,860.13