Finding the Third Proportional to 1,286 and 3,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,286 : 3,032.50 = 3,032.50 : x
2. Step 2: Convert to fraction form
   1,286/3,032.50 = 3,032.50/x
3. Step 3: Cross multiply
   1,286x = 3,032.50 × 3,032.50
4. Step 4: Simplify right side
   1,286x = 9,196,056.25
5. Step 5: Solve for x
   x = 9,196,056.25/1,286
6. Step 6: Final answer
   x = 7,150.90