Finding the Third Proportional to 785.50 and 1,148

Step by Step Solution

1. Step 1: Write the proportion equation
   785.50 : 1,148 = 1,148 : x
2. Step 2: Convert to fraction form
   785.50/1,148 = 1,148/x
3. Step 3: Cross multiply
   785.50x = 1,148 × 1,148
4. Step 4: Simplify right side
   785.50x = 1,317,904
5. Step 5: Solve for x
   x = 1,317,904/785.50
6. Step 6: Final answer
   x = 1,677.79