Finding the Third Proportional to 1,526.25 and 3,287.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.25 : 3,287.63 = 3,287.63 : x
2. Step 2: Convert to fraction form
   1,526.25/3,287.63 = 3,287.63/x
3. Step 3: Cross multiply
   1,526.25x = 3,287.63 × 3,287.63
4. Step 4: Simplify right side
   1,526.25x = 10,808,478.14
5. Step 5: Solve for x
   x = 10,808,478.14/1,526.25
6. Step 6: Final answer
   x = 7,081.72