Finding the Third Proportional to 1,525.50 and 2,396.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.50 : 2,396.25 = 2,396.25 : x
2. Step 2: Convert to fraction form
   1,525.50/2,396.25 = 2,396.25/x
3. Step 3: Cross multiply
   1,525.50x = 2,396.25 × 2,396.25
4. Step 4: Simplify right side
   1,525.50x = 5,742,014.06
5. Step 5: Solve for x
   x = 5,742,014.06/1,525.50
6. Step 6: Final answer
   x = 3,764.02