Finding the Third Proportional to 1,148 and 1,460

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148 : 1,460 = 1,460 : x
2. Step 2: Convert to fraction form
   1,148/1,460 = 1,460/x
3. Step 3: Cross multiply
   1,148x = 1,460 × 1,460
4. Step 4: Simplify right side
   1,148x = 2,131,600
5. Step 5: Solve for x
   x = 2,131,600/1,148
6. Step 6: Final answer
   x = 1,856.79