Finding the Third Proportional to 1,525.50 and 3,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.50 : 3,292.50 = 3,292.50 : x
2. Step 2: Convert to fraction form
   1,525.50/3,292.50 = 3,292.50/x
3. Step 3: Cross multiply
   1,525.50x = 3,292.50 × 3,292.50
4. Step 4: Simplify right side
   1,525.50x = 10,840,556.25
5. Step 5: Solve for x
   x = 10,840,556.25/1,525.50
6. Step 6: Final answer
   x = 7,106.23