Finding the Third Proportional to 17,734.50 and 38,082.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,734.50 : 38,082.25 = 38,082.25 : x
2. Step 2: Convert to fraction form
   17,734.50/38,082.25 = 38,082.25/x
3. Step 3: Cross multiply
   17,734.50x = 38,082.25 × 38,082.25
4. Step 4: Simplify right side
   17,734.50x = 1,450,257,765.06
5. Step 5: Solve for x
   x = 1,450,257,765.06/17,734.50
6. Step 6: Final answer
   x = 81,776.07