Finding the Third Proportional to 785.50 and 1,460

Step by Step Solution

1. Step 1: Write the proportion equation
   785.50 : 1,460 = 1,460 : x
2. Step 2: Convert to fraction form
   785.50/1,460 = 1,460/x
3. Step 3: Cross multiply
   785.50x = 1,460 × 1,460
4. Step 4: Simplify right side
   785.50x = 2,131,600
5. Step 5: Solve for x
   x = 2,131,600/785.50
6. Step 6: Final answer
   x = 2,713.69