Finding the Third Proportional to 1,257 and 1,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257 : 1,384.50 = 1,384.50 : x
2. Step 2: Convert to fraction form
   1,257/1,384.50 = 1,384.50/x
3. Step 3: Cross multiply
   1,257x = 1,384.50 × 1,384.50
4. Step 4: Simplify right side
   1,257x = 1,916,840.25
5. Step 5: Solve for x
   x = 1,916,840.25/1,257
6. Step 6: Final answer
   x = 1,524.93