Finding the Third Proportional to 1,537.50 and 3,300

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.50 : 3,300 = 3,300 : x
2. Step 2: Convert to fraction form
   1,537.50/3,300 = 3,300/x
3. Step 3: Cross multiply
   1,537.50x = 3,300 × 3,300
4. Step 4: Simplify right side
   1,537.50x = 10,890,000
5. Step 5: Solve for x
   x = 10,890,000/1,537.50
6. Step 6: Final answer
   x = 7,082.93