Finding the Third Proportional to 17,527.50 and 38,227

Step by Step Solution

1. Step 1: Write the proportion equation
   17,527.50 : 38,227 = 38,227 : x
2. Step 2: Convert to fraction form
   17,527.50/38,227 = 38,227/x
3. Step 3: Cross multiply
   17,527.50x = 38,227 × 38,227
4. Step 4: Simplify right side
   17,527.50x = 1,461,303,529
5. Step 5: Solve for x
   x = 1,461,303,529/17,527.50
6. Step 6: Final answer
   x = 83,372.05