Finding the Third Proportional to 17,984 and 38,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,984 : 38,328.50 = 38,328.50 : x
2. Step 2: Convert to fraction form
   17,984/38,328.50 = 38,328.50/x
3. Step 3: Cross multiply
   17,984x = 38,328.50 × 38,328.50
4. Step 4: Simplify right side
   17,984x = 1,469,073,912.25
5. Step 5: Solve for x
   x = 1,469,073,912.25/17,984
6. Step 6: Final answer
   x = 81,687.83