Finding the Third Proportional to 852.50 and 2,256.38

Step by Step Solution

1. Step 1: Write the proportion equation
   852.50 : 2,256.38 = 2,256.38 : x
2. Step 2: Convert to fraction form
   852.50/2,256.38 = 2,256.38/x
3. Step 3: Cross multiply
   852.50x = 2,256.38 × 2,256.38
4. Step 4: Simplify right side
   852.50x = 5,091,228.14
5. Step 5: Solve for x
   x = 5,091,228.14/852.50
6. Step 6: Final answer
   x = 5,972.12