Finding the Third Proportional to 852.50 and 1,160

Step by Step Solution

1. Step 1: Write the proportion equation
   852.50 : 1,160 = 1,160 : x
2. Step 2: Convert to fraction form
   852.50/1,160 = 1,160/x
3. Step 3: Cross multiply
   852.50x = 1,160 × 1,160
4. Step 4: Simplify right side
   852.50x = 1,345,600
5. Step 5: Solve for x
   x = 1,345,600/852.50
6. Step 6: Final answer
   x = 1,578.42